You'd rather c-bet here as I'm concerned.
Cause it will be quite hard to extract value from underpaire on this kind of board, even by slowplaying your TPTK. Here the only hands you will be able to take value from would be Kx and Qx I think.
You may be already beaten, but here, what can you do instead of going broke? Nothing, you have to go broke on this spot. It's a pity if there's KQ, QQ+ against you ( I don't believe in K8), but so, what could you decently do with TPTK here on a 3way pot?
Here a c-bet will usually buy the pot, but I do prefer this and avoid a fucking tilting 2outers turn.
Here is my line:
flop: c-bet/ call
turn: check/call
river: push