BB check-raises Hero's 15bb bet to 40bb

Heads-up Turn | BTN vs BB | 100bb effective | Difficulty: Standard

Hero hand

A♦A♣

Board

J♠9♥4♦T♥

Action so far:
Turn T♥, pot 20bb
BB check-raises Hero's 15bb bet to 40bb

Pot: 20bb   To call: 15bb

Villain range: BB turn XR: KQ, QJ, JT, T9, 99, JJ, J8s, plus some flush-draw bluffs

Your move: