I generally do them with a torch, and sit them on two or three jack stands so the heat isn't sucked away, although no idea what temp they end up.
If using mama's oven, maybe go to broil and bring it way up near the fire.
Freezing the wheel will have far less effect, I don't even do it. 75 to 32 is a small change compared to 75 to 500
As far as right or wrong ring gear, maybe double check with the manufacturer, but I'd expect you can grow it much more with heat