I do not have a 5er, but I do have a suggestion for you that (just) might help. It will take a little effort and planning and research to do this, to make this fit for your steps in the camper, but this is a great alternative.
I've remodeled (almost) my entire house since we've purchased it. I've taken every room down to the studs and started all over again with everything.
Our house has 2 levels, an upper level and a lower level (5 steps). The original steps were horrible, so when remodeling the family room and the adjoining kitchen, I also rebuilt the steps. They were pulled out completely and the photos below are the result.
Now, long before I planned on this part of the remodel, I had a vision of what these steps were to look like. I knew they would be wooden, pine, stained and polyurethane for a finish. I also knew they would get a LOT of wear and tear
Now about 15 years ago we took a tour through the Conner House at the Conner Prairie Homestead museum. It's a preservation of the homestead and farm. The main house was restored to it's original condition and one thing that REALLY grabbed my attention were the stairs leading to the second floor. They used a simple runner. But the runner was held in place with bars that were attached in the corners of each step, holding the carpet down. I'd never seen anything like that before and even then thought it would be so cool to do something like that someday.
Little did I know, I'd later buy this house and do all this remodeling. So, here was my chance. And actually it came out BETTER than expected. Looking for the rod, or "Stair Rods" as they are called, I found them on line and various hardware stores had them, but they were pretty expensive, and I needed 5.
Click here. This is what I'm talking about.Instead, because the steps were quite wide (about 4 1/2 feet), I ended up using wrought Iron fencing posts and put caps on both ends. To hold them in place, I make my own clips.
The nice thing about this arrangement is, by simply flipping my clips, the bars come right out, the carpet runner can be removed, shook out and put back in place. And, if the carpet begins to wear, it's sooooo simple to put in a replacement. This has saved the steps, BIG time, as my son and his 2 1/2 year old is now living with us and the kids is pretty rough of the steps.
It's just a thought, rather than nailing carpet to the floor. Think about this idea. It just might grow on you. Yes, in the photos below, I did every bit of that wood work. That was originally white #2 pine form Lowe's. Sanding took days for each board. It took 3 months just to build these steps and walls adjoining them.
Just in case you are curious, this is what it looks like facing the other direction. Can't see the actual steps or carpet runner, but this is the top. (Yes, I made plate above the steps leading to the family room.)