I wonder if the BD and RC have the same mounting points?
Fuse 40 in the underhood fuse box. Misc ignition. Not exactly the location you're after, but will work. I do not know if they will be on with remote start. I tried it a while ago but dont remember the results. Went back to my original wiring setup.
I have most of my accessory lighting on the parking light circuit, which is used during remote start. I also have some LED's that I want on all the time on fuse 4. Fuse 4 has power more often than fuse 40.
I also have the RC grille lights, and many others installed. The description says it's a flood beam pattern. I too expected them to be more. Chalk it up to their good marketing I guess.
They are hooked to a relay, triggered by the hi-beam fuse.