You're really asking the wrong question. If you're asking what is the best layout for 1,500hp on 1/Sept/'39, the answer is 14 cylinder radial - It will give you 1,500 hp on 87 octane fuel reliably when war erupts. It will have room to improve 1,900 hp with 100/130 fuel and improvements to supercharging (mechanical and/or turbine) and inter-cooling.
But what goes around comes around, and the question rears its head again late war - what is the best layout for 3,000 hp on 17/Aug/'45. 18 cylinder radials/V-12s are really pushed to make that power. Is the best solution for 3k hp, a double 11 cylinder radial - Wright R-4090; quad 7 cylinder radial - P&W R-4360 or some liquid cooled engine with 24 cylinders - Napier Sabre/RR Eagle, Double V - DB610/Allison V-3420 or Hex Jumo 222.
Wright only made 3 - R-4090s. (OK, they were having issues with the R-3350 at time, and need to focus). And its not a very streamlined engine (58" diameter)
P&W R-4360 was made in qty (almost 20k) but only couple hundred by end of war. I'm not sure you could start in '35 and have a running engine in '39 (P&W R-2800s were busting cranks left, right and center during that period, 4 row radial has even more complex crank) and at 3,700lbs probably too heavy. But can you start with a quad version of the Twin Wasp Junior for 1,500hp in '39 and improve/enlarge it to quad Twin Wasp for 3k hp (on ~2,500 lbs) without completely retooling the factory? (Interesting R-4360 with only 7 cylinders in larger than the 11 cylinder R-4090 at 61" diameter, Twin Wasp is over a foot smaller in diameter).
The hex 24 has all the connecting rod bearing issues of the X engine with 2 more slaves per rod. You also have to deal with primary and secondary vibrations of 6 - 4 cylinder engines which a hex more/less is. Junkers couldn't get them past the prototype stage even by end of war and built fewer than 300. We don't have until '50 when Dobrynin got a couple dozen running.
Vulture is done in more by 100 octane fuel than by the Merlin. In '35, RR is working on engines in 4 classes: Kestrel XXX - 750hp (engine is changed so much it is renamed Peregrine), Merlin - 1,000hp, update R (will be name Griffon) - 1,250hp and Vulture of 1,500hp. With an expectation that the fully developed version with make about 20% more on 87 octane fuel (900, 1,200, 1,500 & 1,800hp respectively). The nail in the coffin from 100 octane fuel - it allows 60%+ increase in power. RR can't figure out a way around the French multi speed patent, so until France falls, you are stuck with single speed engines.
So, the Peregrine needs to be redesigned for 1,200hp, the Merlin for 1,600, the Griffon for 2,000 and the Vulture for 2,400. And there is a war on so pick 2 - RAF needs Merlin for its front line fighter, FAA has funded the Griffon, Avro says they can redesign their bomber around 4 Merlins and it will be better able to take war to Germany.
However, if we never start the Vulture but rather commence with a double V Kestrel, we are sacrificing 2/3 of mid-war Merlin production. Vulture heads and cylinder blocks have same bore spacing as Merlin (even though the Vulture has same bore and stroke of Kestrel), so the manufacturing floor equipment could be converted to making Merlins with
relative ease. Also, depending on supercharger setup of the double V Kestrel - i.e. if you keep individual superchargers ala DB605 superchargers on DB610, you don't have the tooling for the 1st stage for 60 series Merlin. Only just over 500 produced, not exactly a roaring success.
Even with those caveats and the weight advantages noted by
@swampyankee, I can't put my money on the "X-24". I know the solution for the connection rods is built up crank, but that gets horribly complex (maintaining tolerances). And the engine needs balance "pucks" like a radial as the rotating mass doesn't follow a circular path (its a funky ellipse) so, its still going to be hard on bearing.
DB601/605/603 all had issues with oil foaming. When oil foamed, bearing failed with disastrous consequences. When you are running a double V, the failure of one V, doesn't immediately fail the outer - which has severe consequences - Ronson: lights every time. Messerschmidt and Daimler-Benz fought over what caused the issue (oil tank or oil pump design), in the end, Messerschmidt installed oil/air separators and resolved their issues. I am not aware that Heinkel ever did (Not enough planes made it back to properly diagnose the issue and resolve it?)
Allison V-3420, lost critical head way when V-1720 was prioritized, and then more when engineers fought to make a single supercharger and experimental turbo-supercharger work. Someone in management needed to step in and have them get the engine working with individual superchargers/production turbos. Then work on the single supercharger/fancy turbo.
Germany and USA made very limited numbers (~2,500 & 150 respectively) so not very successful compared to 70k V-1720 and 60k DB601/605s.
I'm not aware of any "flat H" engines with poppet valves in the power range we are talking. I suspect that having poppet valves with their associated springs and cams made the engine too wide for the air frame guys. I've seen the drawings for the Merlin "vertical H" engine, and it is seriously tall.
Which leaves us with the sleeve valve engines for H engines - and sleeve valves were definitely the "fad" in '35 and pretty good solution if you are stuck with 87 octane. You can't replace a 2,000 hp Napier Sabre (87 octane rating) with a hypothetical 1,250hp RR Griffon in '39 (the engine that is being completely redesigned to be a 2k hp engine on 100 octane, while Napier is forecasting well over 2,400hp for Sabre on same fuel). OK, Napier could have used a little assistance from the gov't to pass on how Bristol resolved the sleeve valve issue. (As gov't is paying for the engines, assigning the patent for center-less grinding and bringing in efficiency experts from automotive e.g. Ford would have solved most of Napiers issues). >5k Sabres isn't the 100k for Merlin, Cyclones or Wasps, but given the limited number of planes using (chicken/egg thing?), still more than all the other combined during war.
Based on historical - flat H sleeve valve.
I still think a double Peregrine has merit as you could start double Kestrel in '35 and get 5 years experience in before you are at war with your 1,750hp double Peregrine. Makes for a very different looking Typhoon...