Live 2/5 Blind Situation

[vhawk01]

So, by far the biggest leak in my game is the way I play hands from the blinds, basically all of them, but situations like this in particular. The setup:

Live 2/5 game, I've been there for about an hour or so, catching some hands and haven't shown down much so it seems like I'm really running the table over. No specific reads on any of the players, assume your general, terrible live 2/5 table, maybe one or two tricky players.

3 players limp, Button limps, SB completes, I check in the BB with Th8d.

Flop comes 8c7c5s. SB checks, I....?

I really have no idea what to do in this spot. I guess my usual line is c/r the button, c/f to anyone else. Is this really terrible? The reason I included my image is because I feel like I'm probably encouraging even the straightforward players to take shots at me with draws here, since I've been LAGging it up, at least from their perspective.

Also, how much does the situation change if we have, say, A7o? 98o?

Appreciate any help.

[Triumph36]

why would you C/R here? I mean, it's a good image play, but you're never getting value unless button is really, really bad.

i like to bet here with a lot of different things; odds are no one has anything. check-calling isn't out of the question either.