Practice Signup Configuration Options - Using Merchandise on a Registration Form

You can use the merchandise feature (Merchandise) to create your signup slots and you can use the merchandise limit feature when creating each slot to limit the number of signups.

>>Note: limits only work during registration, not on the online store

Just like the first option, you create a minimal registration form, but enable the Merchandise section to add the items you created for signup.

If this is something that would be set for the season, then you should be able to do this with one registration form, but if it changes weekly, you could copy the original form to create a form for each week.

You could download the Registration Details report to have your list of signups. If you do this from the Report tab, you'll see all registrations combined from each form, but if you download the report from within View Registrations of each form, you'll only see registrations from that particular form.