As I mentioned in your project thread, I went with a few extra LEDs where I needed them. Admittedly the resulting light dispersion is not 100% even, although the camera makes it look much worse than it is. In any event, when I started looking at adding some white LEDs, I decided having a few bright points of light (I ended up using red and blue LEDs instead of white) worked nicely with my artwork.
EDIT: Looking at your pictures again, I don't see any way you're going to avoid bright spots without changing out the wood for a metal bracket. There is so little clearance between the support and the marquee that your options are pretty limited, much more so than mine were.
Endaar