Possible Clues:

• Dodger Stadium contest, to the Dodgers
• Yankee Stadium event, to a Yankee
• Matchup that draws local fans
• National event in D.C.?
• Target Field outing for the Twins, e.g
• Mets contest at Citi Field, e.g
• 'Jeopardy!' in a box, e.g
• One that's in your field?
• Safeco Field contest, to the Mariners
• It's played in front of your fans