I wish those existed about 5 yrs ago!You could remove the THING lightboard, that's what I did in mine when I had one, then it fits properly. The DMD then lights the THING inserts instead but it's dim compared to incandescents, so that is a problem too.
Unless you buy one of these:
http://pin-mods.com/product/taf-thing-light-board/
I removed a few white SMD LEDs from their plastic casing and soldered their legs directly on to the original boards... it worked a treat, created a very thin light board, but fiddly.
100 times better than using the LCD screen to shine through the THING lights though.