My dog runs hot. How can I keep her cool during the winter?

My dog is a borador, with a short double layer coat. In the summer we'd have the air conditioning on and even then she wasn't much of a snuggler because she'd overheat. Now with the colder temperatures setting in I keep a blanket and/or a sweater on me at all times. She can't even snuggle for 5 minutes without needing to leave and sprawl out on the coldest spot on the floor.

How can I make her more comfortable? Would she appreciate a cooling bed, or are there doggy ice packs?