[locutus2002]

I'd push the turn. With your loose image you should get called by a wide range of hands that you are way ahead of including 2 overs. Villain's probably calling you with a 2 or a 3 and expecting you to bet the turn aswell (because that's what he did with the eight). I can't imagine villain folding a smaller pair to the push given your loose image.

Checking the turn is of course wrong because you limit the amount you can win, and probably won't deter villain from putting you all-in when you are behind on such a safe board.

I'm curious if villain made an EV+ call against you with k8? It's a pretty loose call, mid tourney, so he must be expecting to get paid if he hits a card (the eight in particular)(he must have you on a really wide range)