You're taking 3.0 to 3.1 conversion. 3.0 is the bulbs. 3.1 is the tubes.
I would think you'd just need to remove the bottom of the top panel and replace it with white or frosted plexi. Then relocate the tubes and wiring in the top so you can't see their shadows, probably in the cavity of the top walls.
I have heard of people doing it but never seen any pictures. @OakleyFrankFMJ has some done I believe but his camera requires 3oz of gun powder, 30-40 feet distance, and for you to hold that scowl for 8 seconds.
This is one of the reasons I love my Spine Case....I'm an idiot and LED conversion was $17 shipped and plug-n-play!