I called the park back in 1995 when I had a F350 crew cab and 30' TT. Asked if I would fit and their answer was "if you can get it up the hill, you will fit.". Once started up, you are committed until the top. At places I was in first gear, foot 1/2 way to the floor, passenger tire over the white line and the trailer coming close to the guard rail. Luckily, it was winter time (use to be open year round) so had pick of our sites. Was fantastic looking down over Clayton 1,700 feet below.
Was just back there a couple months ago in the TC. Hill was just as bad as I remember it, but didn't have any problem because have tons of power to spare.
Be warned, it is 8-10+% grade for a couple of miles. If your rig can make it up that climb without blowing the transmission, you will fit. You would definitely want to disconnect the toad. Not sure what other hills you have climbed, but don't know of anything in the area to compare it.
2015 Ram 3500 4x4 Crew Cab SRW 6.4 Hemi LB 3.73 (12.4 hand calc avg mpg after 92,000 miles with camper)
2004 Lance 815 (prev: 2004 FW 35'; 1994 TT 30'; Tents)