Shortround6
Major General
If the P-61 was designed without the turret and designated gunner & his cockpit, the resulting aircraft could've been both smaller and lighter. The central pod losses the superimposed gunner's quarters, meaning lowering the drag further. Hopefully the resulting aircraft would've been just a bit bigger than the F7F, with a turn of speed around 400 mph.
Alternatively, accept (X)P-65 proposal from Grumman, but with R-2800 engines and no turbo.
We are designing with hindsight.
Army didn't sign contract for the XP-65 (with R-2600s) until June of 1941. R-2600s were supposed to be turboed. Navy signs up for two prototypes 2 weeks later.
Army signed contract for XP-61s in Jan of 1941, signed contract for 13 YP-61s in March 41 and inspected mock up in April 41. 20mm guns were moved from the wing to the fuselage belly and fuel tanks enlarged from 540 gallons to 646. Radar at the time was evolving, initial radar was the SCR-520 but even that was not available during initial design stages.
P-61 got the SCR 720 radar for service use. The F7F didn't get SCR 720 radar until the -3N model which didn't fly until May 15 1945. Earlier F7F night fighters used the smaller radar from the wing pods of F4U and F6Fs.
F7F night fighters had 375 gallons of internal fuel, radar operator cockpit took the place of 80 gallons of fuel.
The F7F or something like it wouldn't have met the requirement for endurance in the early specifications.
In 1940-41 nobody actually know what size the future radar units would be.
F7F-3N with the same radar as the P-61. of course they had several years to figure out how to fit it to the airframe.
BTW a 150 gallon belly tank cost about 11mph using normal power, at 300 gallon tank costs 12mph .