Thanks for the tips, Dingobass. I don't have a soldering iron of that caliber handy (the guitar is with me at home, not at our shop two hours away), so I guess I'll go with the syringe of glue trick. I'm having considerable trouble finding a syringe, though. The local drug store would give me the syringe but not a needle. Looks like I'm going to have to order one from amazon.

I'll keep you posted on how it works.

BTW, WierdBits, I thought about posting a pic, but the bubble is entirely invisible. You can't even see it from the side. The only reason I knew it was there is because I was running my hands over the guitar and heard (and felt) it.