Grunching as requested:

Against a tricky player, I'd call down, because I'd hate to make a hard decision against a possible bluff raise, and calling down gets us to showdown for the same cost as check-raising the turn. In addition, it induces tricky players to bluff more hands that we beat, like middle pair or a weak J.

Check-raising the turn doesn't fold anything that beats us. Flushes will 3-bet us, and a 9 has odds to call in hopes of boating up. It might fold a J, but we beat or tie any of those anyway.

Against a straightforward player, I'd donk the turn and fold to a raise. If he just calls, check the turn to either induce a bluff or get a free showdown. I don't think we're ahead of enough hands to value bet here, but I haven't stoved it. I