We have had good luck with this particular fundraiser.  Our bowling center donates two bowling balls as prizes, we also collect donated items from various other businesses.  Each bowler is issued a ticket when they bring in their money to the registration table.  These tickets are then used in the doorprize drawings.   We use one bowling ball as a prize for the individual who raises the most money and one goes in the doorprizes.  We allow each participating Relay team to add their donations to their individual team, but we also have one team volunteer to be in charge of the event.  They of course get to "claim" all non team donations for their team.  We mention the business names every time we announce a winning ticket. We do open it up to the public (you'll get a lot of bowlers by talking to the league sanctioned people who bowl there frequently). We limit the teams to 4 people per team so the bowling goes pretty fast.  We divide into age groups for the little folks to have their own competition.  You can also save a prize for the highest scorer, etc.  Good luck with your event!

If "we" above is a team, collect the day's proceeds and credit to the team. If it's an Event event, so to speak, post it to the Event. Examples in our Relay: Team-hosted pancake breakfasts, golf tournament, car washes... proceeds all get booked as one team donation. Keeps it simple.

/Rick