I play negative free bids with partner at 2 level, he can bid a 5 cards suit with just 7HCP at 2 level because it is a negative free bid. My system with partner after overcall always cue-bid = game forcing, 2M after overcall = negative free bids, around 7-10 and 5 cards in M. Double = forcing for 1 round and asking 4 cards major, obviously no 5 cards suit (around 7-10). Double and then bid a suit, 11+ with a game inv. value, 4 cards. With this system partner pass after overcall, usually he has a crap hand with below 8. Game isn't our concern but we need to find a suit fit to compete. NT overcall usually showing 18-19, but we don't play overcall 2NT, usually is 1♦ - 1♥ - Pass - Pass - 1NT(18-19). It is no sense to rebid a 2NT as we played direct openning 2NT = 20-21, 2C = 22+. If partner holding a 0 points crap hand, re-bid 2NT will be disaster and giving opp. 200-500 depends on vul. Usually this hand partner pass overcall 2C, I will bid based on my hand and assuming he has crap. 2♦ will be my first choice. If my partner correct to any M after 2♦. It is not a forcing but saying that we don't have fit in ♦. With 2 cards in ♥ and 3 cards in ♠, I can accept his any correctness after 2♦. If jump shift in new suit after 2♦, it is not likely to happen but this means an extra length(7+) and few count in strength.