Hey 83 yes the carpet I use has a rubberized backing. Sorry I am not familiar with marine carpeting without a backing, as far as glue goes I use an automotive and marine glue that I buy by the gallon. I roller it on both surfaces let it set a while and stick them together, works great, I;m pretty sure 3m 77 is a spray on that you use the same way but I'm not positive about that, you might want to check if there is a thread on that particular type of glue, I hope all goes well with your project.