A long, long time ago, I obtained a couple of Denalt Performance Computers. These circular slide rules are used to estimate the take off and climb performance for an airplane with a normally-aspirated engine. There is one for a fixed-pitch prop and one for a constant speed prop.
You set the air temperature and against the pressure altitude scale, read a factor to multiply against sea level performance. For example, 6,000' pressure altitude and 100 F, the take off distance increases 2.9 times and the rate of climb is 24% of sea level's.
At this temperature, the slide rule only goes up to 6,000 feet, unfortunate here in Colorado as we have airports higher than that.
This suggests that you might be able to find something equivalent, perhaps an on-line calculator, that provides similar estimates.
Dave