How directional is LED strip lighting (with a diffuser)?
I just did the same thing a few months ago and it turned out great. I routed a 1/2&quot; channel at the back of the shelves so the bulbs wouldn't be seen.  The color of the walls is important as well.  You don't want to reflect the light, but you don't want to necessarily absorb all of it.  A few coats of a flat or eggshell saturated relatively dark color work well.