The title reminds me of the old standard, who is the Frankin Roosevelt Building named after?
Answer: Joe Building.

Anyway, unless your center speaker is too large for the top of the TV, I'd put it right on top, you don't need a shelf. Alternatively, you might just buy for $85 or so, an Orb Mod 1 speaker & use that for the center speaker on top of the TV. I live in am Apartment as well & I have 2 Orb Mod 1 5.1 systems including the sub.

Musicman do you have a photo you can put on here on your center speaker. I'm trying to visualize how you can have one on a stand in front of the middle of your TV without it interfering/distracting from your viewing.