No the race is either pounded in lightly and evenly or pressed in. Don't need to heat it or cool it. If taking it out use a flat faced punch and lightly tap it out going around the whole race not in one spot. Try not to hit the hub with your punch though.
Absolutely if out on the road you can just put the bearing in with the old race JUST to get home and repaired properly. Personally i would do the whole thing even if out on the road as we carry tools along. At least i did this in the past as now with the shot body and having a stroke i really don't know if i could even attempt it anymore!
This is just my thoughts and everyone is different. I totally agree i wouldn't want to let a boat or camper or enclosed trailer set along side of the road very long.