Thanks, everyone, for your responses! I'm thinking ahead to when I (maybe!) eventually build my next house. One of my wish list items would be to have hot and cold water in the garage and some sort of drain to allow me to hose off a car in winter. Come to think of it, if I were doing this, I'd need to heat the garage, at least while washing the car, so the freezing issue would be temporarily moot.
I like Rugged's idea of burying the trap deep to take advantage of soil temperatures! Makes sense.
For just collecting snow melt, etc., the sump idea of neili's makes good sense, too.
Thanks, Gary, for the tip about RV antifreeze. I'm assuming it's less toxic to dogs and cats than auto antifreeze?