I live in Iowa, so while I can’t talk about your situation specifically, I can say what I have been told.
If I buy a physical product in say Nebraska and take it to my house, I only have to pay the tax where I buy it (Already figured in by the seller). If I am in another state, order something online and ship it to my hotel, I have to pay the tax where I am registered to live.
I used to travel a lot, and Iowa has a place on their tax form to declare online purchases. My accountant at the time told me that is what I should do to be compliant according to the law.