Yes, the heat is speeding up the cycle, that's what you want. It is important that you gravel vac very, very thoroughly.
The way the cycle works is that the parasite attaches to the fish (white spots) it matures and falls off into the gravel (cyst, which you can gravel vac) the ones you miss will mature into free swimmers (they swim around looking for a host, your fish, any fish staying more at the bottom of the tank is more at risk) those free swimmers get killed either by meds, the salt (salt pulls the liquid out of them and they die) or by you doing lots of water changes! Some meds kill ich also during the other phases of its cycle!
You are doing the right thing! Asides from trying meds, it's now: continue with treatment and wait and see! I hope you will soon see better results!