There area variety of options as you head north from the reservoir. My advice is to stay as far back off the main road as possible. If it hasn't rained for a few weeks, the road gets incredibly dusty and with all the motorcycle and ATV traffic, there's a pall of dust hanging in the air. One can travel 1/4 mile back off the road and still find a layer of dust on all the vegetation. Of course with the size of your group and the size of your rigs, you're going to be pretty limited as to where you can get to and fit in. You will see spots on your left on the river as you head north. All of those are very open sites without trees. There are several roads just before and after Dinner Station CG that head east a little further into the trees. You might send a scout out to make sure the rigs can make it and to make sure the sites aren't all full.
Which brings up another issue. Taylor Park in August is a very busy spot. All the good spots of any size are gone by Thursday early afternoon. Hopefully you've got someone in your group than can get up there earlier in the week to snag a good spot.
Another spot to consider is down closer to Tincup on the road from Taylor Park Reservoir. Some good large flat spots on your left in the couple of miles before Tincup. Seems like the dust problem isn't quite as big an issue as the speeds are a little less along this stretch.
I haven't been there in a few years, so some locations may have been closed, but I haven't heard or read anything about that. Just a caveat.
Ken & Allison
2 Camping Cats (1 diabetic)
1996 4Runner, TRD Supercharger, Edelbrock headers
2007 Fleetwood Arcadia, Honda EU2000i
4 mountain bikes, 1 canoe, 4 tents, 8 sleeping bags, 2 backpacks
(You get the idea!)