Last year, on my Four runner, the A/C stopped blowing cold. Had it to the dealership twice (spent hours there) and the second time was with their BEST A/C guy who couldn't find the leak. As he gave up, he removed his tool from the valve and noticed just a tad of A/C coolant bubble out...
I felt pretty dumb about that, I could have squirted that valve and found it. Worse yet, Toyota techs couldn't find it, just lucked out as he gave up...
And Cliff, they should be able to just break the bead on your rim (not remove tire, no re-balance) and pull a new valve thru...