I’m the laundry dad on every trip. I never had a problem snagging washers/dryers but I’m an early riser. I would load up the washers at 4:30AM and knock it out quickly. Go early or really late and bring your own detergent/fabric softener to save money. If you are staying on DVC points, you can ask the front desk for laundry tokens.
I had a one bedroom villa at Aulani that had a washer and dryer in it. That was spectacular to my eyes!