Hi I think you’ll be OK. I pulled a 22ft Airstream no problem. Road is washboard and 4 miles if I remember correctly. But other than washboard and slow going I did not experience any issues that would cause me concern. Google had me turn off a 1/8 mile too soon and the road was over grown and scratched my Airstream.... so turn where the sign says “Purgatory”. One loop of the campground might be tight for a 27 ft, but the larger primary loop is flat with gentle turns. Having said all that thinks can change on the road condition so might be worth scouting without rig if your concerned or cautious! Good Luck.

The road isn't that bad unless you have rain (or snow), but it IS narrow and can be dicy if you pass people going up and down. A bigger question is the campground. The first few sites would probably work for something your size, as it the open field, but if you go to the "top" it might be hard to make the turns.

I was there mid July last year. I have similar rig as you . No problem diving back there. Unless if perhaps there has been very heavy rains . Nice CG . Good local hiking . Cuchara is interesting little town . Can also fish nearby .