Il preface this by saying I’m not a laundromat owner… yet. I do think it’s possible to own a laundromat form far away just not your first one or even second maybe even third. You’ll have growing pains as we all do taking on new ventures and you’ll want to be close by to manage them. I guess it depends on how much risk you’re willing to take. I would really take Dave’s answer to heart and consider what he’s said.
In the meantime, why not think up and implement a service like this? If you see a need in the market why not try to fill it with some sort of software package or “property managments” style service.
Lastly you can always try and find someone to invest with. Find someone you trust, speak with them and if it’s a good match let them know your looking to invest. Also talk to everyone you know about it they might know someone looking to sell locally.
Good luck with whatever you choose, but don’t get impatient and learn to love the process.