Playing two overcards and nut-flush draw in early position.

[Agthorr]

Check/call on the turn. You're not likely to cause them to fold, and you're not likely to win unimproved. You want to see the river as cheaply as possible. On the flop, you have 1.1-to-1 odds of getting your flush, so with 2 callers you want to pump the pot as much as possible.

On the turn, you're only getting 2.5-to-1, so with only 2 callers, pumping the pot is -EV.

Check/fold the river if you don't improve. Bet or check/raise if you hit the flush. I'd Bet/Fold or Check/Call if I just hit one of the overcards.