Depends on player.

If I think hes a very TAG player I probably bet 2/3 pot which will get called by flush or 77 and I would fold to all in as he will only do that if I'm beat (infact even A7 may only call).

If I think hes a solid player who would not check flush and may be capable of bluffing then I probably check-call.

If I think hes a donk who will happily play any flush or Ace here all in then I bet pot and call all in.

I would guess he had flush here.