I have done this install on our last 2 TTs. On our Grey Wolf the arm for the awning was over the storage compartment so I mounted the controller in there and ran the wire to the lights up the arm, I ran these off of 12V power. I mounted the lights to the bottom of the awning channel with 3M tape. The light worked great the first year and went down hill a little bit each of the 2 following years until we traded for our current Passport.
On our Passport we have 2 awnings, the arm for one of them is directly on the outside of were the bathroom vanity is and also the wire of the awning runs down this arm. Even though the wire for the awning in hidden behind the vanity I drilled a pilot hole then cut a small 3/4" X 3/4" hole with my Milwaukee oscillating tool and ran the power wire to the lights from inside the vanity and up the awning arm, on this install I used a 120v converter to power the controller for the lights which is also mounted inside the vanity. I placed the lights into this aluminum channel https://www.amazon.com/LEDwholesaler...6NBN77HWNTK5Z9
which I mounted to the bottom of both awning rails with 3M vhb tape. I went from the power wire that was ran up the awning arm into a Y (so I could run lights under both awnings) then into each of the lights. After the lights and the channels were cut to length I sealed up the ends with silicone, and the connections from the power wire into the Y and from the Y into the lights i used heat shrink tubing to protect them from weather.