Santee is the best / closest bouldering though somewhat urban/suburban. Mission State Park (I think that's what its called) is even closer but is greasy cragging and not much bouldering. If you want to drive further, Mt. Woodson is pretty good but mostly bouldering and some short TRing. Some longer more advenurous shit on obscure granite domes, but looks like you won't be there long enough to explore.
And you can always go get your pump on at pump wall.