Corporate Video: Using 3'x3' Cards in a Video

I'm doing a video next month where 60 employees each hold up a 3'x 3' card to an overhead camera. Together, the cards create an image. They then bring the cards down, flip the cards and raise it again to create another image.

I am trying to figure out how the employees can hold up the cards without having their fingers peek through the sides. I'd like the cards to come as close together as possible.

I thought about adding handles, but that won't work since we have to flip the cards, and the handles would obstruct the image.

I was wondering if any one has done this type of work and had any tips, or could point me in the right direction. Thanks!
 
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