Q8s

id definitely bet the turn. if you didn't plan on betting the turn then why raise flop with your perfect gutshot + fd .. you got enough equity to bet the turn. I haven't ran the numbers and won't be ♦ i suck at math. but theres no way in the underworld where lucifer resides. that you should NOT bet the turn.

so bet the turn and if you dont hit the river give up id say

You should bet the turn again! It almost costs you nothing. But raising the flop does not necessarily mean you have to bet the turn but with 1 overcard, with a gutshot and a flushdraw you kinda freeroll on the turn and extra investment is very cheap. checkraise is very unlikely as the 4 doesnt complete any draw and the reason why betting the turn is important: You don't have showdownvalue against SB's range but as he didnt 3bet, he's likely to be drawing on some overcards like KJ KQ A8 A9 AJ etc and if BB folds on the Turn, you might get SB to fold Ax or KJ KQ on the River and J is a good bluffingoption for you as well!