OK, even though it appears the OP has moved on to other options, this discussion on attaching acrylic to HDPE has sparked my interest. I've used the above referenced "plastic" silicone on acrylic to acrylic, acrylic to glass and polycarbonate to glass, and all worked great....can't peel the silicone off.
One of the tops to one of my Brutes (HDPE) has a hole in it that is no longer being used. I cut a circular disc of acrylic (I think 1/8 inch thick) and sanded both the acrylic and the area around the hole. I also sanded a little part of the center of the lid where I plan to simply put a dollop of silicone (to test pulling it off.)
Disc siliconed to the lid. Now wait for it to cure.
I'll be back in a couple days with results. :D :cool: