Hi,
I'd just bet/call the turn because it's hilarious when they show KJ and we're not getting more money out of TT- with 2 overcards on board anyway.
As played on the river he could be valuebetting worse hands like a weirdly played AK or AJ or randomly merging anything if he's awful, I don't think you can do anything other than calling even tho if your opponent is decent he'll show you JJ quite a bit.
Hope it helps.