I know the speakers in the TV are not that great, but how about sending the L/R front signals to the TV speakers (turn off any sound configuration on the TV, just straight input -> output?) and install the center in the drawer (I think you could get a N3S in there too if you wanted to use the neo-3 tweeter).
Alternately, and I don't know how it would sound, but maybe if there is enough room behind the TV, put a pair of bookshelves (N1/N1X?) behind the TV facing out to the left and right, with the center in the shelf area? You would be working with the reflected sound off of the L/R bookshelves, but maybe better (and definitely a better timbre match) than using the TV speakers?