Awesome, can't wait to see it when you are done!
EPP is unique in the way it can be glued back together.
Sometimes can't even tell where the rip was after the glue cures.
I like Gorilla Glue white for these kind of repairs.
My newest trick is to mix a little water into it and let it begin to expand, then work it into the cracks and then scrape off as much of the expanding foam as possible.
I also find Gorilla Glue to be really nasty stuff. Lately I wear rubber gloves whenever I use it and if (seems like I always do) I get some on my skin I wash it off before it sets with alcohol.