3bet multiway pot OOP deep stack 9max ante games

Hello, i need your advice what would be best EV play when we’re OOP in 3bet multiway pots 200bb deep, let’s say we hold JJ and we flopped all 3 cards lower than J or we hold AK and we flopped top pair but as we have 2 or 3 callers pot is already too large, we’re happy with our hand but not as happy to put our whole stack in as we’re 200bb deep, OOP play can be tricky here, if we bet 3 streets we have to put our whole stack in, if we check and they bet 3 streets or if they bet big anyway we’re going to put our whole stack in so i wonder what can be the best play in such scenarios?