Let's Play Spaceball!

by Foggy Brume
Answer: MINOR LEAGUE

In each grid, the clue from the pitcher's mound will start each of the base clues. (e.g., ALL, ALLEMANDE, ALL ALONG, ALLAYED, etc.). Each baseline clue is the base clue minus the pitcher's mound clue plus one extra letter (e.g., ALL, ALLEMANDE, AMENDED).

In order (top, bottom, first to last):

The innings can be arranged in the empty scoreboard so that this message reads left to right, top to bottom:

"LIKE THE BATAVIA MUCKDOGS, MOBILE BAY BEARS, ALBUQUERQUE ISOTOPES, AND HONOLULU SHARKS"

These are all Minor League teams at different levels, so the answer is MINOR LEAGUE.