Oh hello I'm from WP but am a sneaky spy on BT as well!
My hen party is this weekend and I've said strictly no dares or willies or anything like that. I expect we will still play raucous but non-sexual (!) drinking games like 21, what the ****, bunnies in the hutch. Do you want games that don't involve drinking either?
You could always play word games like where you make up a silly story by telling one word each. You could still have a 'thumbmaster' where people put their thumb on the table slyly and the last person has to do a forfeit - usually drinking but could be anything like standing up and singing I'm a little teapot or something daft?