Wow. Most people here clearly do not understand the UP. They have this big puddle there, I think it is called Superior. It creates this thing called "Lake Effect Snow". Think Buffalo NY levels of snow.
Folks, it isn't the streets. Those will be plowed sooner than later. It is the parking lots, the driveways, the side roads (and yes, there are a lot of them that aren't paved even aside from the Forest Service roads). Heck, there were years that my Grandpa's driveway in Menominee (southernmost point of the UP) would get holes in it so big during the winter that when we went up the first time in the spring, before we even pulled up to the house we'd park the car barely in the driveway and get out and patch it. This was a gravel driveway. Why? Because we were in a minivan, and it didn't have the ground clearance for the holes.
OP, with a $7500 budget I'd be looking at an older 4Runner, or else Jeep Cherokee (XJ). Both are slightly less reliable than the sun. 4Runner is nicer, Jeep is probably cheaper and there are a lot of them up there. Whatever you get, I would get snow tires. Budget $1k for it, it is worth it. I just did it for the car I bought on Saturday--the tires are getting put on now, on Tuesday morning!
Signed, a guy who drove a Miata year round in Chicago, and who's cousin lives in Marquette and got a 4x4 truck after he said he didn't need one and 2wd snow tires was fine.