"I'm sure there must be a Show of Hands song that we could play as background music.."

There is a song called "The Hunter". That might do. For those that like a more traditional hunting song, then perhaps the SoH take on "Reynardine" would fit the bill. For those that don't eat meat but do eat fish, then their version of "The Downeaster Alexa" might be more appropriate. Mr Beer has a rathe fine alternative arrangement of that that, has never made it to CD, where it sounds really like it is set off The Lizard rather than Martha's Vinyard.