When I lived in an apartment with no washer I got sick of using the laundrymat because it was expensive and kind of nasty. So I set up my own washing setup after some research.

I got something called a "breathing washer" which looks kind of like a toilet plunger and a big tote which I put in the bathtub for use. These breathing washers work really well and in my opinion get your clothes much cleaner than agitating and spinning.

Then I got something called a "spin dryer" that is basically a small centrifuge that spins a lot faster than a regular washing machine and leaves fabrics like light polyester nearly dry coming out.

Finally I got an inflatable plugin dryer.

This setup was more work than a regular washing machine but maybe not more work than bundling up clothes and taking to the laundrymat and sitting there for an hour or two. One thing I really liked about it was short time to process. I could have washed and dried clothes much faster than a conventional washer/dryer setup.

I've been in a house for a long time now and admittedly having a washer and dryer is much nicer and less work, but that setup was acceptable and much better than laundromats for whatever it's worth if someone is in a similar situation.