I wonder what you're using to measure power with as that can be a difficult task. I've used both a homebrew diode probe with Arduino power meter as well as using oscilloscope readings and converting Vpp to power. The methods differed in results by about 10%.
I haven't used the RFPowerTools LPF set but have tried a couple of my own LPFs, on 80 and 40. I have seen up to 100 W output but generally see 90 to 95 W and 80 W on 10 meters. I increase drive to get the desired power output, but generally back off when I get into that compression region you describe. My drive power is about 1.3 W on almost all bands.
I'll also ask if you have a solid 50 VDC supply and negligible drop in wiring and connections to the amplifier board.
Deviations in your dummy load's resistance from 50 ohms can also introduce power errors.
73
Nick, WA5BDU