Updated with wiring diagram:Well I have been lurking for awhile, but this is something I have already done to my trailer.
On my 19 foot trailer I never had much trouble with backing up but with my newer 28 foot trailer you just cannot see in the dark anymore.
I clipped a tire on a short piece of wood that the forest service uses for a barrier on their sites because it was so dark and ruined the tire, but it still held air.
I purchased 10 lights on eBay for a killer price.
(Search for 2x 18W Cree LED Work Light Bar Flood Beam 4WD Offroad Vehicle Driving Lamp) Now I find they are 1/3 the price now.
I use the reverse light wire from the trailer plug to energize a relay and I let the trailer power the lights mounted on the trailer.
I also on the right side center light over my tires so that when I am turning right it turns on using another relay, diode and a capacitor to keep it on for 4 seconds so it doesn't flash so I can see the curb.
I also have a switch on the trailer I can turn them on with and one of my up-fitter switches inside my truck to be able to check out my tires while driving.
I mounted two of them under my truck bumper, two over the tires and two on the back of the trailer with them facing outwards a bit.
I also found the wire to my back deck lights and have them turn on also. I put led's in them to be much brighter than the little bulbs that come in them.