I've built some lighted frames for slot machine glass and am working on lighted frames for pinball translites. Both of these really call out for some kind of back lighting since they were designed with that in mind. They look great during day light but are stunning in low light.
The problem with lighting of any type is that you need to run a power cord unless you are willing to live with short run times, few lights, and frequent battery recharging. I use a 12 volt 2 amp power supply for the slot machine glass and a 3 amp power supply for the translites. The 15 foot roll of 5050 LED lights I have used for my translites is rated for 40 watts so that would burn batteries very quickly. Perhaps if you had a cheap source for 18650 cells you could wire a bunch of them as a power supply.