[Hyperrrprank]

I think this is a calldown situation. You are probably behind given his three bet preflop, and if you have enough of a read on his solid preflop play you might be able to get away, but the pot is getting big and you've got too strong a hand to release here to someone with aggressive betting tendencies.

Folding the best hand in a big pot is the WORST POSSIBLE MISTAKE you can make. Calling down here with the second best hand is a far smaller (and cheaper) mistake.