camping in freezing rain?

NOT much fun.
Did it in the country of Chile last year.
It's pretty brutal. it might be bearable if you practice a lot.

Our biggest problem was fire starting, which was miserable with wood that just would ** not ** burn. the wood appeared to be ok, but actually absorbed the cold moisture. you don't realize how much a warm drink cheers the human spirit, until you are in a situation where you cant get a fire started.

Good luck. I admire your fortitude.
In retrospect, I would probably keep a container handy with an flammable liquid for fire starting. it's just not worth the hassles.