It's generally recommended to have the same type of tires all the way around, that way your rear traction won't be better than your front traction and cause the front to push or slide out in a corner. That said, I don't think it would be a problem if you take it easy.
You will get plenty of responses that will tell you that you are suicidal if you don't run full snow tires all the way around, if you expect
any snow
! I ran Michelin A/S 3s here in Jackson Hole WY last winter and they were fine. I didn't go out in deep snow, or if the roads were real icy. I have a 4x4 truck for that. But for the other 90% of the time, they were fine. Not as good as the Bridgestone Blizzaks on my wife's BMW 325 xi, but not much is
!