Recommend a non gory shooter?

Your best bet is if it is Rated Teen. One of the few that actually fits this description is Bad Compnay.get-ka12

Which is great btw. And if you like to destroy things, you can get a game with even more destruction possibility which is Red Faction ;) 3rd person tough

Some games allow you to turn off blood, I can't think of any FPS's that allow you to do this . There's got to be some though.