Used an F150 with aftermarket tires pulling a 19' travel trailer with also larger tires. I think I bottomed out the tongue once on the ride up once you get past Campsite 6 or 7. 

There are some serious potholes and rocks so if you have low clearance, hit one of the early sites. They are not as secluded, but it's a great area for free camping with a town only 15-minute drive away.

I got here on a Thursday evening about 6 and saw plenty of people drive in after me only to turn around so I think the deeper spots past 10, 11, 12 area get filled much earlier.