I don't like the cap. Against a TAG, you are probably still behind a lot of her 3-betting range, even heads up. Without capping, I'm either checkcalling or checkraising the flop, depending on the weather. I'll probably checkraise if I feel I haven't done it a lot this session. You can get a little creative on the flop in these heads-up situations.

As played, fold the turn; you're facing a pocket pair or bigger ace.