Avoid over-barreling weak draws on boards that favor the defender's range, especially when facing aggression.
We have a massive range advantage on this Ace-high texture, but our specific hand is a mixed candidate that prefers a smaller sizing when betting.
Note: Sizing is too large; a smaller 33-50% pot bet accomplishes the same goal of folding out air while keeping the pot manageable with a draw.
Checking back is the standard play here to realize our equity with an open-ended straight draw rather than bloating the pot against a range that contains many Ax hands.
Note: Betting into a range that has improved (7d) and holds a nut advantage is risky; checking back allows us to see a free river.
Once Villain raises, our hand becomes a clear fold as we are no longer getting the price to chase our draw against a polarized, value-heavy range.