Well - I just found a definitive answer to my question!
This afternoon I received my acceptance letter from NYU, so I guess they do view multiple scores favorably if you show improvement on the tests and your highest score falls within their range.
Adam6378, regarding verbal tips - I didn't do anything out of the ordinary to prepare and I actually didn't even study verbal between the 2nd & 3rd testing. I attribute my jump in verbal score to the following:
1) I felt like I botched the math again, and just mentally resigned myself to using my previous score during my break. So I felt a great weight off of my shoulders and I approached the Verbal section in a very relaxed and focused way. I stopped caring about every question and just tried to do the best I could. So, I would advise staying very level headed and focused.
2) I also stopped hanging on every detail presented. I threw away any extraneous information provided in the questions and shortened things mentally to the core information.
In the RC, I just tried to pick up tone on the first reading and would go back later if asked a specific question about a fact.
In the SC, I would dump all the crazy modifiers and other information provided and shorten the sentence mentally to just the key facts. For example, if the sentence they gave me was "A man, who had taken the GMAT twice unsuccessfully, decided to take it again for a third time and was confused over the implications." Could be shortened to "A man decided to take the GMAT for the third time" This helped me see the subject-verb agreements much more quickly.