Total posts : 45366
When I operated a commercial recording business I never had a business license because I was NOT open to the public and did not have any store or office located where people could just walk in. The business was private by word of mouth and by appointment only. You could say I was a sub-contractor for each client. My attorney never made a comment about this.
In your case, if the transmitter were in the remote town but your actual station is in your home town, it would seem to me you would only actually be doing business in your home town, with non-public facilities (transmitter) in the remote town.
We have a 50kW AM station with towers and studios in a farm yard in Illinois, licensed to serve St. Louis and Festus in Missouri, with an office in St. Louis. Do they need a business license in all those places? I doubt it. Probably only for the public office, if there. A radio station office is not actually open to public customers.
My comments are not legal advice, but are intended to say that your assumptions need to be checked out.