Yes, you'll be fine. Though I've never pulled a camp trailer in there, I see big ones camped all the time in there. A buddy of mine took his 30ft'er in there on memorial. The road gets a little busy, with dust being the worst part. Pull down in off the left side as you're coming in. You'll be able to get a little farther from the road on that side.
Going up to see the goats?