Get a few high angle shots by using ladders, cameras mounted to poles, etc. Then shoot the action closeup enough to use a smaller blue screen.
But a better idea is to change stadiums. Some small college might agree to let you use a statium in return for a super video of one of their bigger events, plus credits.
Another idea is to put a big sales pitch on the people managing the current stadium. Tell them what's in it for them and what they'll lose if you shoot elsewhere.
Also, why do you need a stadium if you're going to chroma-in the crowd, etc.? Why not shoot the game on a hill where there are no trees, buildings, etc. in the background - nothing but a cloudless sky. Use a filter that puts as much blue into that sky as possible, then drop your "stadium" in via chroma magic keying on your blue sky.