Let them lien your house. They have a year to take action before the lien expires. At that time, they can lien you again, but it is the same process. If you have not intention of moving in a long time, they will get tired of filing the $100 lien yearly and just stop. If you do sell your house soon(or refi), I am pretty sure they will have to come up with some reasonable value of the infraction that would have to be sorted out and settled up before the sale could be completed. What is the value of a quasi hidden dish? If it is simply the cost to remove it, then that is super easy. Put the house up for sale but note that the dish is not staying in the sellers disclosure. Then sell your house and remove the dish.
I am not a lawyer, but it seems like this would work.
Also, just have Direct TV relocate the rough ridin' dish so that it is on your back roof line. Still get the exposure needed and your neighborhood won't look like the trailer park it does now.