Assuming your 200bb deep,
Checking the flop is an option, The board is more favorable to him, although removing his pre flop nuts hands i assume we still have a equity advantage on the flop. Our hand doesnt improve a lot, its a 2 street hand max, 90% of the time.
Against what i assume is a the standard station reg then bet flop he'll have allsort of pairs + backdoor stuff he'll call. Call turn, fold river. JJ with no fd blockers would be one of the better hands to call and if he's playing perfect id suspect its a call. But the standard 200nl live reg is under bluffing here so just fold.
From the IP point of view its a really interesting spot to raise here, especially the deeper you are as he puts a large % of your range in a shit position if he raises flop then goes to town on a lot of run outs, but be aware of opponent as I.P will be making most of his money from someone paying him off 3streets with an overpair.....