In mid-position, you raise with a decent hand such as AQs or 99.  Someone in the cutoff or button reraises to the size of the pot.  What do you do in this sort if situation?

While it's easy to laydown the hand to an early position limp-raiser or blind raiser, a late position raise can mean anything between a monster and, well..."I have position and know how to use it".  So, what's the right play on this?

We can assume there are no other callers - you are dealing with only the initial raiser (so, we are not dealing with a potential squeeze player).

Personally, I'm playing all-in or fold at this point - leaning more towards the fold (only shoving if I have a solid read).  The problem with these hands is you can hit a good flop, but will still be behind (but possibly pot-committed, depending on stacks).  Example:

You call the reraise with AQs, flop comes Qxx.  You have no idea if you just sucked out on AK, or are still far behind to KK or AA.  On an Axx flop, you have no idea if you just sucked out on KK or are behind to the AK.

If the cutoff has a weaker hand preflop, you're not going to get any more out of him, but you are allowing him to catch up and surprise you.