Any stats? I feel they may be more relevant here than the fact that you are blind vs blind.
I would fold here, most people are never 4-betting lighter than JJ so you are probably flipping at best. Besides he took the fishiest line ever. Min-raise to 4-bet, I mean who really min-raises a hand that they are willing to 4-bet unless they are desperate for action. This info tells
us villain is a fish and we know the most common fish at these limits are the loose passives. You got 4-bet by a fish who is probably loose passive = fold.