This may seem far fetched, but my first thought was of TVI issues. Then I thought, WOW! this guy is moving to an apartment that will allow antennas!
/[Hijack on]
This brings up an interesting topic that has far greater reaching implications. Something that I have not seen is any discussion about is how the switch to digital will effect any TVI issues. First is the modulation mode change and more significantly, (at least locally in the San Antonio DMA) all of the digital channels that are being migrated to are all UHF and not in the 'TVI susceptable' band of VHF, specifically channels 2-6.
One concern is that some of these digital conversion boxes output on vhf TV channel 3 or 4, which under certain high RF saturated areas *may* cause TVI issues, but I am not sure, but I certainly entertain others to chime in on their thoughts.
If my understanding is correct, the advent of digital, especially to UHF will substantially reduce ANY possibility of TVI.
/[Highjack off] (heh heh, I said jackoff!)
Getting back to your original question: I would explore running a dipole underneath the eaves of the building an away from any balconies. You can literally be undetected depending on how well you conceal the feedline/point. Others have literally loaded raingutters (!) and used them as effective antennas, but I do not have 1st hand experience with this.
In my college days, a friend strung a random wire across the 'quad' on campus. It looked like a 300+' long clothes line that strected across the
building from the rooftop of a 4 story L-shaped building. He worked wonders with that station and was the reason of many sleepless nights working DX QRP.