hun, i think maybe if he's not happy and your not overly thrilled then it's time to sit down and work maybe a roster or something.
Do you wash once a week or whenever it needs to be done?
I generally wash every second day, DP has his work clothes which i generally wash twice a week then i try and do say 2 big loads of the girls colors in a week, 1 load whites and then there are normally say 2-3 loads of darks (all of us).

Can you set yourself washing days? put the load on before bed and hang it when you get up, throw in another load when you take 1 out and then before lunch 3 loads of washing are hung and thats it for another 2-3 days?

I actually don't mind doing the washing and the hanging, it's the folding i hate.. DP doesn't touch our washing machine, he doesn't even know how to use it and if i told him to do his own washing i think he would have a heart attack, maybe as your's actually does know how, tell him you will do 1 day per week and he does another?