Qualified Techs are in short supply and frankly I have found installs usually come before service calls. I had to wait 3 weeks for the first time I placed a service call. All of them since have been within a week (new tech just started that lives 5 mins from me).
I know of cases where techs have driven 3+ hours for a service call.
I would recommend going to the link that Old Labs posted. In some more remote areas it could just be a matter of coverage and who's assigned to you. Chances are you're assigned to a dealer and that's the earliest they can arrive. You can find a new dealer and request that they work with you instead (especially useful if you can be seen sooner).