Personally, the pieces that I didn't put in my stash would not get the washer treatment even the stuff I was selling. Also, to cut down on time I would have a basket that collected the need to iron pieces and just do it once a week or so. And just iron for a certain amount of time even if I didn't get it all done. I also have been know to fold and store then iron as I need it. If I felt overwhelmed enough I would pass it on without sorting..... but that is the hardest to do LOL!
Good luck on finding a solution, I know how time consuming our projects are other than sitting at the sewing machine. My problem has always been the computer. This week I was updating my Artfire site..... 1 1/2 days GONE.... today I am going to sit in my room!