"Any thoughts?"
Yes. I don't know if you are being serious or not. I assume you are.
Why do want a compact tractor for a half acre?
That's 100 feet x 200 feet.
My last yard was almost that size, with more to trim around, and I mowed it in an hour with a 21" self-propelled. I snow-blowed with a walk behind unit too. You could do all that for around $1000.
If you want to sit instead of walk, you could be looking at a "lawn tractor" or slightly bigger "garden tractor" that can accomodate a snow blower. Since your budget seems adequate, I would suggest one of the name brands like Kubota, Deere, Simplicity, Toro, Cub Cadet, not Craftsman, etc.
I hope I didn't offend. I mean no offense. Just that if you are asking for a reality check, I gave it.
There's a saying: To a man with only a hammer, every problem is a nail. Some people answer every tractor question with the same answer: BX. It's a great tractor but I don't think it would be the best for your situation.
-RJS