Mind boggled...

You're asking for a lot of capability for the budget you have. I've owned several types of RVs, and would highly advise a truck camper. It took a bit of looking, but we found a 4 -season unit, like new, for under $9000. It has heated basement and a 53 gallon fresh water tank. We found that the non-slide campers are warmer than ones with slides in cold weather. You might also want to consider heating the unit - the truck camper is much smaller than a travel trailer, so its easier to heat and the propane will last a lot longer. You can take the camper off the truck while camping, but there's no need to do so. Especially in snow, the extra weight helps with traction a lot. Get at least a 3/4 ton heavy duty truck (1 ton would probably be better) and a small utility trailer if you really need to carry more stuff. You probably won't need the trailer, but won't even notice it if you have to tow it. When we go boondocking in the mountains in the winter, truck campers seem to outnumber all other types of RVs by at least 6 to 1. There must be a reason!