For a permanent installation, consider using marine grade epoxy(Marinetex is one, it sets up hard) or 3M 5200 caulking or sealer(comes in a caulking tube, can be squeezed into the holes, this sets up to a flexible rubber like stuff).
Caution---epoxy or 5200 is permanent, non removable. I recommend a 'dry' fit up first. Drill and install the strips and screws dry, then remove and apply the sealer, and install. Don't get any of this stuff on your skin!! I use disposable latex gloves. Also 5200 will spread all over!! You need a roll of paper towels for clean up. Read all the directions on the tube first.