haha I'll see your LEDs and raise you HIDs
LED reverse bulbs are bright when looking directly at them but they don't have much throw. So if you just want people to know you're backing up, they're great. If you want them to illuminate your path, you'll be disappointed.
Back when my Grand Cherokee Overland was still basically new, I put on a 4" lift and did some lighting mods. I'm not afraid of warranty issues because the dealer can only deny a warranty claim if your modification caused the failure. If something completely unrelated to your modification fails and the dealer tries to weasel out of warranty work, mention the Magnuson-Moss Warranty Act and they'll change their tune real quick.
I put HIDs in the reverse lights of my Grand Cherokee and they're amazing. I've left them on for several minutes and haven't had any problems. However, because the reverse light housing in the Explorer is much smaller, I need to do some heat tests to see if there's much of a difference between the temperature of the stock bulbs and HID bulbs.
To put the HIDs on my Grand Cherokee I cut off the stock reverse bulb connector and soldered on a 9005 connector so that it could plug right into the ballast.
I had to use a slim digital ballast to fit behind the tail light:
To attach the HID bulb, I epoxied 9005 bulb holders to the tail light that I got from a set of BMW headlights, which I had already cannibalized for the HID projectors.
The results:
(no camera trickery was used. The same settings were used for both shots)