If in one dishwasher cycle you can clean some dishes, clean some clothes, and cook a fish, its a win in my book.
I don't think I'd want to eat that fish, nor wear those clothes.
I've heard of washing baseball caps in a dishwasher all on its own, but never full clothes, nor do I think it'd do a good job cleaning them. I would think hand washing would produce a better result (that's what I do for my ball caps, but that's a fairly infrequent task) though its a lot of work.
I would suggest you find a laundromat, or maybe a friend who's got a washer and dryer they'll let you use. Or, if its a convenience issue rather than cost, maybe find a laundry service.
Or, I've heard of people buying clothes from goodwill-style thrift stores, wearing it, then returning it and possibly buying it again. These places clean the clothes as part of their intake process, so for the cost of buying it back again, you might beat the cost of a laundry service or dry-cleaning. Of course, I don't suggest starting this process with your own clothes if you are overly fond of it, because someone else might buy it out from under you.