Just a few points. You should be using Dot 5 (or greater) fuid. Presumably the vehicles are fitted with braided hoses. Pressure bleeding appliances are fine, just follow the instructions. I can recommend Eezibleed and it is cheap! The best way to evacuate final air residue is, with an assistant, hold the brake under (foot) pressure, crack appropriate bleed nipple and lock before end of pedal travel. This is a motorcycle dodge which is very effective.The sponginess may indeed be due to air in the system however, the hose type is also an influence. The point about air in the system, from causes other than disassembly, is that non silicone fluid is VERY hygroscopic and in our damp climate this is critical. Change the fuid regularly and only use fresh fluid from a sealed container. If you encounter fluid boiling on a track day something else is amiss, "hotter than anyone else's"! There is a clue there perhaps.
I use AP brakes, Pagid RS 14 rear pads and have a pedal that is constantly hard with no excess travel. Just a final thought; using my original (small) brakes, a track day saw off (overheated) the front pads, did not cause any sponginess and only increased pedal travel slightly.
There seemss to be a process issue here. Don't bleed the brakes between track days, renew the fluid and use a pressure bleed system.