I think a fold preflop is actually good here. If button's pfr standards are as high as we're led to believe, there's a huge risk of domination. Having to call one bet back against this player is uncomfortable; two? Impossible.

As played, I think a raise on either the flop or the turn is best. I would prefer raising the flop here in most cases, especially because you note button to be weaktight. You have done nothing to indicate that you don't have a monster, as you could only call the preflop cap. Although a raise gives her a chance to call profitably with AK, she may just decide to concede the pot. If the chances of folding her on the flop and turn are equal, I'd much rather do it on the flop; it's cheaper, and she doesn't get to see the turn card.

PS. Is everybody c/fing an A on the turn?