Is there anything preventing you from using the Dining Room when you're not eating the wunnerful PAYD $hite?
Arrange with a bunch of chums to have a good local Chinese take-away prepare the odd substantial banquet, then use several mess plates, bowls, cutlery for your meal. Take your time, then leave the lot for the mess to clear up.
Arrange a BYOM barbecue for your chums, leave the resulting debris for the mess to deal with.
In other words, use their facilities but boycott their food.