So there is not even a little of the balcony that is even somewhat in the direction of South??
For the -->Tests<-- of reception , the ANT751 antenna can be put on top of some stacked up boxes out on the balcony.
Reception will be better if can get the antenna away from the building as much as possible.
Here is how to aim antennas ,
http://www.kyes.com/antenna/pointing/pointing.html.
Is there a building to the west , that is as high as your apartment , that the ANT751 can be aimed at so as to get some reflected Tv transmissions that come from the south south east.
Digital Tv tuners can develop - Digital Glitches - that are not cleared out with a simple channel scan.
Do a Double Channel Scan.
http://www.dtv.gov/rescan.htnl.