Without a slip ring or something similar options are limited. I have a manual awning that I can reach the end to plug/unplug when extending or retracting the awning.
A camping buddy has a New Bounder that came a Carefree electric awning with the lights on the awning tube. Power for the lights is from a thin wire pair is sewn into the edge hem of the awning fabric for permanent power. Led lights do not require much power to work so light wire will work. You could probably get by with something as small as 20 gauge wire considering the power demand of LEDs. You might get by with using awning tape to hold the wire to the awning material but the hard part is making it look good. I would try feeding power thru the existing hem edge using a fish tape.
Most of the awning led strips I've seen from the factory are actually on the coach side wall. Easy install and seems to work just as well as the tube mount.