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I think the Jazz building is the best...it doesn't cost a preferred room rate (and have the loud pool noise to go with it) but isn't much farther from the main building.
While the country building is nice and is close to the piano pool, it is a long walk to the main building (and thus the buses, restaurant, etc.)
I recommend the Jazz buildings too. They are the closest buildings to Melody Hall that are not preferred and no pool between the buildings. Plus, I love the fountain/ courtyard area in between the buildings.
We have stayed at the ASMu twice, both times we requested the Broadway section for the quiet atmosphere. You basically have the piano pool to yourself. Everyone seems to use the main pool. I know it is in the back of the resort, but the walk is still only about two or three minutes tops to the foodcourt and buses. Also the Broadway section is so beautiful when it's lit up at night.
We had movies played every night when we wre there last week. It was pretty cool to watch a movie from inside of the pool. The quality was really good, too. The Little Mermaid, Camp Rock and Pirates of the Caribbean were the ones I happened to be around to see. I know some other sites carry the list of movies a couple of weeks in advance.