Hoop-Dee-Doo with 16 people -- wow. Big group! That would be excellent fun. There is a group participation quality to the show, so a large group would be neat.
The theme of HDD is an old west traveling stage show, reminiscent of Annie Oakley or Wild Bill Hickok times, as dinner theatre. Food is served family style (in buckets). Bread, salad, ribs and fried chicken with some sides, strawberry shortcake for dessert. The performers sing and dance, there's clapping and singing along, the performers go out into the audience and interact. Unlimited beer, wine or sangria, and non-alcohloic beverages. Very festive atmosphere...everyone is involved (or can just observe). Great singers, cute story, and live perfomance is fun. It is primarily comedy (slapstick as OPs noted), and it is funny and cute for all ages. Kids of all ages will like it.
With a group that size, 3rd tier seating might be tricky, but not impossible. The tables are one sided on 3rd tier (in the balcony) to face the stage. Anywhere on 1st or 2nd tier (on the floor) would work better with a large group.
Have a great trip!