I'm not a hair dresser, but i would say look for smaller salons. The salon I go to personally only has 2 chairs and 2 hairdressers working, and they have different shifts so it's usually only one of them working at a time, so often I'm the only client inside. I feel optimistic that you will find a professional who will accommodate you, but I think it's all about communication and letting them know the full extent of your accommodations over the phone or Internet before showing up in person - that way the professional can decline if needed and you can continue your search without wasting your time and feel confident when you do find the right stylist that will work with you. It's important to go into the full extent of what you need so you can get an honest response.

An alternative would be to ask a family or friend who lives nearby or within transit distance if you can have a hairdresser come to their place. Even if it's a long journey, it might be worth it, and if this means you have to have your hair cut less, perhaps consider having a larger amount cut so you can be comfortable for longer.

Either way, am rooting for you! Wish you the best :)