In reply to timjones:
> I'd grind the back off the t-nuts.
Same here, or possibly grind or drill the head off the bolt.
If grinding the back off the t-nut, it might be helpful to clamp a pair of mole-grips onto the head of the bolt before flipping the board over face-down to hold it steady while chopping the nut off the back.
If you (the OP) want to take your time and be a bit more delicate about it, you might find a dremel is a viable alternative to an angle grinder. (It'd definitely be the angle grinder for me though.) Either way, it'd be a very good idea to wear eye protection.