What about a 5 gallon bucket with a lid. Put in all you need for composting....

The winter months it should stay frozen! I live in Mass and might do this myself.

I'm in NW WI...I just keep throwing things on top of the compost pile year round. (Right now, I'm also getting my exercise trudging through the snow to get to it!) Some years what I do is two compost piles in separate corners of the garden. On January first, I stop adding to the established pile and start a new one in a different corner. When spring finally comes, I spread the first pile out and rototill it in and keep adding to the 2nd pile until the end of the year and repeat the process. The cold isn't as big of a problem as the bear, fox, squirrels and so on!