Have you talked to the TS and see if they allow reserve parking or weekly/monthly parking? Maybe there is a company (trucking or otherwise) that will allow you to park in their lot/yard? Maybe ask the locals if they know somewhere else to park? Sounds like some creative thinking is in order.
My company won't allow us to park on another company's yard.
And this is a small town, there is no other place to park a truck with an attached trailer. I asked the police officer who ran me out of the parking lot where the old grocery store used to be.