that big bear trip happening on aug 12-14 will not be 2wd friendly unfortunately. also it's a ttora event and will have espn2 there as well. it'll make it for one fun filled weekend for those that go.
there are plently of places a 2wd vehicle can go as you shouldn't let the 2wd stop ya from wheeling
hungry valley
big bear
anza borrego
pismo
to name a few that have trails that are 2wd friendly. I've done all of the trails w/ others that were only 2wd.
bring a 4wd friend and you're set. definitely the way to go to see how far you can actually go. it's actually pretty enjoyable to see that too since you'd be pretty surprised how far you can really go.
good luck!
expect to see more runs in the fall/winter time when it's much cooler btw.