This sort of depends how the bottom of your camper is made.
Is the bottom of your camper wide open up to the black plastic waterproof membrane? Or is there a Coroplast plastic cover on the bottom and an enclosed tank compartment etc?
This solution works well on campers that you can feel the floor joists just above the black plastic waterproof membrane. And assuming the floor joist is wood, if you have aluminum joists, they can work too.
Use one hole nylon cable clamps with an screw into the floor joist. These kind of clamps in the size you need. Add them as needed to the joists to not have the wire droop. There are many brands of them.
https://www.homedepot.com/p/Gardner-Bender-3-8-x-1-4-in-One-Hole-Plastic-Cable-Clamp-18-Pack-PPC-1525/100158293?MERCH=REC-_-pipsem-_-100167050-_-100158293-_-N&If you have the Coroplast cover, well drop the cover and still go up to the joist.
Gorilla tape is good stuff, but this may not be the best place to use it assuming you want lots of years worth of service.
Also, the above makes the assumption this is low voltage DC wiring. If you are running 120VAC wiring, this is ideally in plastic conduit or other protective cover when exposed to the road splash, abuse from anything hitting the wire, etc.
Hope this helps
John