I found something at my favorite hardware store that I thought I might be able to use to mount the HB display into the kayak's cup holder. It's called a "Dollar Plug" and I found it in the plumbing section. It's meant to be used to stop off a 3" ID pipe, but I'm using it as the basis for my base mount. Here's what I got at the hardware store for $3.50:
All the parts are made from mild steel so will rust so I had to fabricate some new parts from plastic (I had some scrap 3/8" ABS), aluminum sheet, and a stainless steel bolt. And voila:
I've already mounted the HB base to this and it works perfectly, unfortunately the camera's battery chose to die on me. The next step is to get a battery, put it in a water tight box, and finish the installation.