While checking back flop is fine, we should lean toward betting our high-card air to deny equity and maintain range pressure.
Checking back is a viable mix, but betting is preferred to deny equity against HJ's overcards and small pairs.
Note: Checking is acceptable, but betting at a high frequency with our specific air combos helps push our range advantage on this texture.
After checking the flop, the turn is a pure mix. Betting now targets HJ's high-card hands that might have folded the flop but are now incentivized to fold to a delayed stab.