Me and a friend did a week in late Sept, last year. You will do fine. I had a F250 and small trailer that I pulled in from the Idaho side. We parked 10 miles in at Mt meadow camp ground. From there we took a 4 wheeler and pull a trailer loaded with the camping stuff.
1st night was granite springs camp ground. It was burnt the year before and not a lot there.
We then moved on to Poet Creek and made camp. It's was beautiful and had a shitter. This was base camp for the next few days.
We went to Burnt Knob look out. Don't try that in a pickup. The road to the look out is not maintained and rough.
Dry Saddle is a larger camp ground and we met a Subaru on the road near there. The road was just wide enough for one vehicle and I backed up for a little ways until they could pass.