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Dave that is starting to sound like a lancaster with the turrets removed, there was a proposal to do that but some objected on "morale" grounds. They speculated that taking the guns ammo and turrets out would give an extra 50 MPH. The lanc with no turrets and bomb load was quite an agile plane.
Imagine that the airframe was better streamlined to take advantage of fewer sticking out bits, the lower weight and the lower required bomb load - 3000kg = 6600lb vs Lanc's 14,000lb bomb load.
Very fast. In fact the 413mph sustained speed makes the Do-335 almost impossible to intercept without jet aircraft. Good combat radius too.
However the Do-335 weapons bay held only a 1,000kg payload. Dornier didn't patent the Do-335 tandem engine arrangement until August 1937 so I wouldn't assume it could be easily duplicated by another aircraft manufacturer.
An interesting idea but IMO the more conventional Mosquito design would be a better starting point for Britain or the USA.
The XB-28 seems amost on the money here, in service in mid 1943 perhaps? Mixmaster is also neat.
The lightened B-26 (crew of 3-4, perhaps only 1 defensive HMG?), with two-stage R-2800 maybe also sounds nice.
The smallest still usable plane could've been the (non-turbo?) P-38, with 'Droop snoot' nose. Optionally a couple of HMGs in a gun pack just aft the nose wheel bay, with engines allowed for WEP in 1943 (1300+ HP in low alt)?
On the heavy side, a plane using B-24 wing, but somewhat thinner hull, 4 x turbo V-1710s, 4-5 crew members. Even better for RAF use?