It is all about reception. It may help to view the reception dilemma in the following way ... if several people were throwing balls at you at the same time ... it would be easier to catch one ball (mono) as opposed to two or more balls (stereo) at the same time. Also, the balls would not be thrown to you at the same speed. That is what you are asking your tuner and antenna to do and produce audiophile quality sound, at the same time.
The easiest thing to do and the one thing that would have the best chance of succeeding is to ask your management company if you can install the following on the building's roof,
AnntennaCraft FM6 .
If the building already allows FIOS or DirecTV or Dish Network to install antennas on the roof, this type of antenna should be allowed.
The physics behind this is simple ... an antenna which has a direct line of sight to the radio signal will do a pretty good job of reproducing the sound.
The MD ST2 is very similar to the old style car radio antennas that were mounted vertically off to the side of the front or rear hood. That is pretty much how you would install this antenna.
You could place the antenna in a vertical position in a room corner near your tuner and see if it improves the situation any. Bracketing a 5 foot antenna vertically to a window sill may catch management's attention though. The ground, I believe, can be attached to a radiator, pipe, or outlet box.
My focus on management attention is because I am a coop board president and deal with this fairly often, as NYC takes facade attachments very seriously for multiple dwellings ... a $2500 fine per occurrence if outside of NYC regulations.
Rich