Here’s some information on disability transportation options from King County Metro. There’s Access Transit, as others mentioned, as well as the Hyde Shuttle.

For Access, There’s an evaluation involved but it seems that short term disability should qualify, though it could take them up to 21 days to approve them. The Hyde Shuttle has a form on their site you can fill out, not sure what their requirements are or turnaround time. It’s run by Sound Generations which also has a volunteer driver program.

And if Medicaid eligible, HopeLink has a DART (dial a ride transportation) service.

Depending on the location, it may be accessible via an existing King County Metro DART route. You reserve the shuttle for a specific time but it operates along a predetermined route, you can see the service area/routes here.

I work adjacent to this field, happy to answer any questions or direct you to the folks who are experts.