@Jennifer, Oh no! I broke my ankle last March. I feel your pain!
I usually camp at the Seton Creek campground and drive to the Red Bridge in the morning. Not sure why I've never camped at the Bridge, though. I park in the NF parking lot on the NCT side.
The NCT is a bit of a slog but I usually do the loop anyway, and camp one night on the MRT, pretty much how Jennifer described it.