If you bet the flop, you won't fold a flush draw or OESD or probably any PP. Checking the flop then betting a safe turn in the (still) small pot would force the OESDs to make an incorrect call and nullify the flush draw's EV.

Unfortunately, if they bet into you on the turn first, you have a tough decision. Well, it's not so tough. I think you should raise then fold to a 3-bet. If they just call your raise, check behind on the river for a free showdown if you don't hit an A or K. Well this is what I'd do at 1/2, so I'm not sure if this works at 5/10.