Here's a Rat Race driver board (it's a highly modified System 7 driver board). I do believe the driver board in question is from a shuffle alley game.

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I've always been amazed at the diversity of products that Williams produced and it's why I collect Williams. Pinball, Video games, arcade games, slot machines, novelty games, gun games, pachinko, pay phones, video lottery terminals, shuffle alleys, redemption games, jukeboxes, fortune telling machines, pitch & bats, etc.

Some of the redemptions were produced under the name of Funhouse Games - obviously inspired by the pinball...Some of the fun titles were:

Screaming Slopes
Piece of Pizza
Wheel of Fortune
Aaaahhh Real Monsters
Bozo Buckets
Bozo Buckets 2
League Champ (shuffle alley)

Maybe it's a redemption game? Anybody familiar with these games? Seems like they wouldn't require a lot of lights. I'd like to learn more about them and maybe add one to the collection. Real Monsters looks fun!

Here's a promo video: