Flop raise works for me as well. On that board it may control the pot and get you a cheaper draw to the river, as most villains would check the turn fearing a set without an overpair here. I don't think just calling is bad either though.
On the turn you can definitely call, your implied odds
are fine so I think it's a +EV call even if you play fit/fold on river. But if you know villain can double barrel some A x hand here, you can also shove, I'm not that good with running numbers but I think you'd have decent fold equity.
I think it's tough to bluff the river here though, logically the implied odds mean you expect to get called should the straight complete so bluffing
a blank river would be a complete turn-around and won't seem believable enough.