When using a microwave, I use a 1 cup Pyrex cup. Once in a while the handle gets quite hot, but not often, and it cools down rapidly.
I've never felt that stabilizer was necessary.
The only issue for hand protection is when the aluminum molds get very hot. Rather than continuing pouring, I just set them aside to cool and find other things to do, ie: trim baits, bag baits, etc.