Any idea of where I’ll end up?
There will likely be folks at the barricade on your way into town who will guide you even at midnight, but by pretty early tomorrow, the town police will be looking for barricade passes / town parking permits on every car in town or you will get towed. You can get a 2-hour pass to get your stuff to your campground / house / condo, and then unless you have one of those permits you’ll need to park either in a private space/lot (check the big one at the west end of town in condo city), or up in mountain village. I am pretty darn sure your car will be fine in town until tomorrow morning if you want to shuttle your car then.
You can see if there are still spots in Carhenge (the lot in condo city referred to above). As you’re coming into town, you’ll hit a roundabout and turn right (this is the 2nd roundabout you’ll come to as you’re driving in). Down a few blocks you’ll see a sign for public parking, and that’s where you’ll turn left. About a block down or so, you’ll see the turn on the right into Carhenge. I would go unload your stuff before you try Carhenge. If there are still workers at the campground, they might be able to tell you if Carhenge is full, and if it isn’t, they might be able to give you the orange pass you need to have on your dash to park there (usually during the day, there are people at Carhenge to give you that pass).
If Carhenge is full, they’ll direct you to parking up in Mountain Village. To get there, you’ll go back out of town a couple of miles to a roundabout (the first one you passed as you came into town). You’ll take a left (south) and go 2 or so miles. Mountain village is a big turn-off to your left.
Good luck, and drive safe!