Sorry to hear about your fish loss

The heat output from pumps, lights, etc can definitely raise a tank's temperature. A quick temperature swing like that can also be the catalyst of an ich breakout.
Generally speaking if its in your tank, and you get everything under control it will lie dormant again and so long as fish are strong enough for it to fade its not a big deal. The high heat was most definitely a stressor in your situation though.
You can do a quarantine and hyposalinity treatments but I wouldn't recommend doing it like the browns. While a goby may not break out in ich, ich can survive unseen to the naked eye on the fish and its very possible their trouble of QT their fish may be for nought once all fish are reintroduced.
It can hitchhike in on everything so to be completely ich free you need to QT every single thing that goes into your tank once you know for sure its gone.
I find it much easier to live with it and keep stress out of my tank (no aggressors, no temp swings hopefully all equipment works well) etc and most fish will be fine.
While not a cure supplementing food with garlic soaks and vitamins will help bolster the immune system to help the fish fight off the parasite. Also, a cleaner shrimp or goby can often provide comfort if the fish allows the cleaner to pick off the parasite. Again, not cures, but more natural and less stressful things one can do.