There's an activity that we do with girls scouts when we do outreach called the "Spaghetti Marshmallow Challenge". It's a competition/team building activity that involves building a structure with spaghetti, tape and string to support a marshmallow the highest off of a table that you can. It sounds a bit childish at first but this is done with kindergartners to professionals in fortune 500 companies. It take about 20-25 mins with set up and is actually really fun and challenging. This might be a fun thing to do since it encourages the kids to think like an engineer and build a structure. I know its not directly related to your team, but it's a cheap, fun activity that might give them a chance to be hands-on and creative.
Here's a website that outlines it if you're interested. Usually we have teams of 2 but you can do more:
http://marshmallowchallenge.com/Instructions.html
Good Luck!
We're recruiting hard this season as well, but we aren't through a school so it's extra difficult.
-Anna