The shorts distinction may not be as much a chauvinist thing since it's uncommon to see adults -- including men -- wear shorts in Argentina, much of Europe and most parts of Asia. Something about shorts being akin to underwear while skirts being just shortened dresses (in places where that is acceptable).

In any event, here's another option for Palermo besides Malabia House and the Bobo Hotel: La Otra Orilla

http://www.otraorilla.com.ar/

It's very cheap in USD terms and may be useful for those looking to stay in that "trendier" area instead of Puerto Madero, Recoleta or Retiro/Centro.