Coming in from Fresno side wouldn't be too bad,the south entrance is really tight/twisty.
Most of the N.F. campgrounds (Dorst Creek, Stony Creek) were built a long time ago and the site pads tend to be small.
There are some dispersed camping areas where that size would be no problem, if you don't mind no services and would possibly need 4wd TV to get there. No fee's and no guaranteed space available of course. Off 198, FR 14S11
right about here is a really nice site, I've never towed anything that large up there though..
2015 RAM 1500 4x4 5.7, 3.93
2013 Econ 16RB TT