The Vickers Venom is a "throw it out and start over" airplane.
A good part of it's light weight is from the Aquila engine of under 800lbs. Or about 80% of a Bristol Mercury.
Another part of it's light weight is from the 50gal, (imp) fuel capacity (and few gallons less oil than another fighter in contention)
Once you toss the Aquila engine and go to a heavier engine everything starts to unravel.
Your wing loading will go up rather quickly because of the small wing.
You can have a landing speed of about 70mph fairly easily.
The Prototype Hurricane at 5672lbs had a stalling speed of 57mph and landing speed of 70mph. There is a difference between the two.
But the Venom, as is, has a wing loading of about 28lb sq ft. while the Hurricane prototype was just under 22lbs sq/ft.
Now, will the Venom even come close to handling carrier landings (the Buffalo could not) let alone what happens when you add even 10% to the weight let alone the closer to 20% you are going to need (and we haven't even got to self sealing tanks and armor yet, those won't become part of the requirement until at least 1939.)
Swap out the Goshawk and its evaporative cooling for the Kestrel and a regular cooling system and we have something.
Road apples are still road apples. The Spitfire 224 used a 295 sq ft wing of 45ft 10in span, makes a Typhoon wing look small.
People complain about the Fury biplane not being fast enough. The Type 224 was good for about 228mph at 15,000ft and it had no radiator, it had the surface cooling system.
Add a 1935-37 style radiator under the plane and see how slow it goes.
The Kestrels used water for cooling, Not Ethylene Glycol but plain water. The Peregrine was the change over after the Merlin was redesigned to use Ethylene Glycol.
Lets remember that the Gloster Gauntlet could do 230mph at 15,800ft using a 640hp Mercury engine and the first Gladiator flew Sept 12 1934 with a 540hp Mercury.
Getting something to out perform the Nimrod in the mid 30s shouldn't have been that hard.