I drove into Birch Saturday 4/13...
...I would not drive a 2wd drive rig in there, especially pulling a trailer. You'd be asking for trouble. Also, I would not take a low clearance rig like a Subaru.
You'd want a very short trailer. There are a couple of creek crossings where with steep banks where a long trailer could get hung up.
If you don't have experience with 4x4 driving, its best not to attempt it. For example, what are you going to do if you meet another vehicle coming down the road with no room to pull off? Can you back a trailer down a steep, winding canyon?
You might get in there in a 2wd Sprinter van, but you probably wouldn't make it out.