There was a time maybe 30 years ago when NEITHER Graham or Bluefield paid rent. Since the stadium was in Bluefield the Beavers always got priority for scheduling and Bluefield always sat on the home side. When Bluefield's population could no longer support "free" rent both schools were required to pay rent. When this happened Graham insisted (and properly so) that they sit on the home side when they were the home team. This was not an issue with Bluefield High's administration but quite a few Bluefield fans and community members did not like it at all. There were also many times that Bluefield, WV city board members insisted on using some of the press box for their own purposes when Graham was the home team. But that was years ago also. Since then both schools have been treated completely equally including alternating Thursday game when there is a scheduling conflict.
If the Bluefield, VA people think that they are going to save money on football you are sadly mistaken. It costs way more than 60k or even 80k to have a stadium. But if spending the extra money to satisfy their egos is worth it then that is their choice.