- I think your weight is really high here (original factory production? it's closer to max gross weight (i.e. with external fuel tank etc.) P-40F normal loaded weight (with 6 guns) is 8,500 -source and -source, P-40L normal loaded weight is 8,079 lb - source. The stripped P-40F as actually used in combat should be similar to that.
- Climb boost setting is undoubtedly low at 48" - takeoff power rating is supposed to be 54" (giving 1,300 hp) and they routinely took off at higher settings than that, pilots often mentioned climbing at WEP particularly during interceptions.
- Initial rate of climb is supposed to be 3,250 for the P-40F (with six guns), 3,300 ft / min for the P-40L- source
The sources from those links are all a) of the "Biff's Big Book of WWII Airplanes*" type and b) lacking in any information on aircraft condition, weight, and engine settings. Methods of correction are also potentially different. I'll stick with A&AEE measurements, which listed 8,910 lb as "typical service fighter load". It seems the A&AEE, as a rule, tested all aircraft fully loaded or at maximum take-off weight for the aircraft at the time of testing.
RE: engine settings in the climb -- in order to compare like-with-like I illustrated the maximum continuous climb settings, not 1-minute take-off settings.
*no relation/disrespect to any forum members - been using the phrase for about 20 years.