https://hometownmobilevet.com/about/
https://westchestermobileveterinaryservice.com/
https://www.capitaldistrictmobilevet.com/default.html
I do see that many don't treat avian.

But these are a few mobile ones in NY. Maybe you can at least ask them if they can direct you on the right path or know of any that may be able to help.
Very seriously... many of us are capable of doing things we never thought possible when it comes to helping those we care about.
Something else you might look into is calling any avian rehabilitation or rescue centers... MANY have volunteers that will do the traveling to help animals out.... Alternatively... you might look for someone to give you a ride to the vet... like a taxi or Uber for the same cost as having one come out. I have anxiety that makes it extremely hard to leave the house... so I don't know if these are options for you... but brainstorming to try and help you figure SOMETHING out!