I'm not going on this trip with my mom and sister
Why aren't you going on a trip with them? Did you tell them?
Yes I did, I hate them for wanting to take a 3 days trip with family when I hate that crap.
Spending time with family can be difficult sometimes, so it is okay to spend time apart for sometimes. Especially if you don't like what they are doing. Maybe you can join them on a trip with things you enjoy at another time.
I want to be an asshole about it and ruin their vacation. They will always go on vacations anyways.
Well there's no need to be hostile about it. You should just not go on this vacation but go on a future one.