Clothes don’t have to go in the closet. If they’re your clothes and they don’t get in anyone’s way, your family doesn’t have a right to complain about you storing them on a pile on your bedroom floor, if putting clothes away is making you so miserable.

Alternatively, maybe strike up a deal with another household member for them to do your laundry in exchange for you doing some other household chore for them (e.g. you’ll take out the bins when it’s their turn to do the bins, you’ll cook all their meals, etc).