Definitely not checking. I'm undecided if we should shove or bet like $100. I think it would take a pretty sick call for villain to call off 170bbs with anything less than TT against someone he perceives to be a lockbox, and I'm not so sure the way you played the other hands will make him think you're capable of running a $500 bluff (though I'm glad to see you're mixing it up; those other hands would probably be an interesting analysis as well
).
Then again, I could see this type of player saying, "There's no way that 5 helped you," and put you on busted overs when we shove 100bbs on the river, and maybe everything else you've done this session has gotten him curious. I think I'm talking myself into a shove, but I wouldn't bet my life on it. Just make sure you bet some amount.
BTW, I'm not going to buy too much into the "he only has to call 33% as much for a shove to be as good as $100," since it is still possible that we're beat, so we do actually need it to be pretty plausible for villain to call with worse for the bet to be good.