Hey Annaquilts (original poster)... just a thought here. I made rag pillows, and one small lap quilt, using a die a couple of years ago. These were gifts going to my Mom's family after she passed away, using her old clothes. Most of the clothes were either knit (like t-shirts) or fleece, and some polyesters. I washed and dried everything in my very old washer and dryer, no problems. But, those fabrics do not shred and lint as much as flannels or cottons, which is probably why I didn't have any issues, and I just thought about it after reading this thread.
I guess my point is that rag quilts can be made of anything, and if folks are really concerned about not being able to wash/dry them and being banished from the Laundromat,
all is not lost.