Hello kidzoltan,
Against such a maniac I don't even mind 4betting there for value in BvB fight. And as played I am also definitely going broke with my TP on such board, you could even consider Check/Raising it bigger on flop.
But the question either is if it's better to just Bet in yourself for the given reason that you didn't mention his postflop aggression, AF. Therefore I'd consider even betting myself in on all streets but if you think that he is capable of betting himself there, then it's totally fine to Check/Raise but the problem in that is that Check/Raise is often times a very strong move and it would make fold a lot worse pairs but otherwise if we bet into him he might still Call us and maybe even go broke.
Best regards.