I wonder if Viper02 is talking about the ICC lights along the top of the front cap, the 6 along the lower part of the sides (4 yellow and 2 red) and the 5 red lights on the rear wall along the top ??? Those are/should be wired to the tail light power at the trailer umbilical and the arrow he shows in the Giggy Box ... Those are not the LED lights the OP is asking about. The lights the OP can't turn off are the "accent lights" or the "docking lights" closer to the pin box or the trailer A frame. Those "accent lights" are powered by the battery, not the umbilical, although there are two or three (depending on trailer model) DC circuit breakers along the lower part of the Giggy box. Those lights are powered through one of those DC breakers, but which one and whether there is another fuse further down the line depends more on how it was wired on the line, by which worker and whether he/she was closer to quitting time or not.... On all that I've seen, there is a switch "somewhere in the trailer" to operate those lights. At this point, it's more a matter of someone who has the same trailer floorplan in the same year that knows which switch controls those lights and where it's located....
As an example, on my 2014 Cougar XLite, the docking light switch is on the exterior of the lower front wall, behind the pin box. On the 2013 model of the same floorplan, the switch was inside the front compartment and on the 2015 model the switch was in the convenience center with the water connections and dump valves. So, it's probably more a "which year and who wired it on the line" type of "Easter egg hunt"....