Using strip lighting as a rodent deterrent is an old wives tale. Ambient light is nice to have in the campground, but only while you're UP...:W...flashing lights, spot lights, scare lights etc are a irritant and a bore to many other campers, especially if left on all night.
That said, I have a series of LED lights under my step that I leave on if we are on a walk. I used two sided tape and some zip ties to hold them in place. I've never had them drop off. Keep in mind that any lights secured to the bottom of the coach are going to be subjected to some pretty harsh conditions. Plan on replacing many of them each year depending on the use of the coach....Dennis