They've got 14k followers on there. It takes seconds and is absolutely free to write a tweet. They've just tweeted:
"Tag us in a tweet during or prior to the game and you could see ur message on the BIG SCREEN! #36ersFamily"
But still yet to tell anyone which actual game! In the few days leading up to a game, they should have tweeted 3-4 times. Are they trying to sell tickets or not?
They'll live tweet a game (which I suspect is largely pointless, to be honest) but drop the ball when it matters, which is when people are making decisions on what to do with their Thursday evening.
My guess is that whoever is doing it, just doesn't like/use Twitter much. Their preference is Facebook or whatever else. That shouldn't matter if you have any professional responsibility doing social media. If it's too much for that one person, get them some help.
You're not going to find many cheaper ways of hitting an interested audience than Twitter. The followers voluntarily followed you. Your "creative" can be a five second, text only message. You can link directly to your ticket sales.