These kinds of questions generally go in your facebook group to reach a wider audience, but I'll give you some ideas. Many med students live uptown, with easy access to cheap housing and the kinds of undergraduate-themed neighborhoods they are more familiar with. Students even rent entire houses here. The CBD (central business district) is probably the next most popular. It's more urban but a lot closer to school. Students here rent apartments or condos. I haven't heard of Lakeview.
If you are looking to rent, arrive a couple of weeks to a month before you are ready to move here. Students who visited in May intending to sign a lease starting in August were not very successful last year - it's just too hard for a landlord to predict the future like that.
Here are some websites you may find useful:
Nola neighborhoods to get you oriented:
https://maps.google.com/maps/ms?hl=...d=106625818460325756602.00046241beb93446aa0bc
Nola crime map:
http://www.trulia.com/real_estate/New_Orleans-Louisiana/crime/
(be sure to distinguish violent (e.g. rape) from petty (e.g. stolen iphone), otherwise you might get the mistaken impression that the tourist areas are like war zones)
Nola flood map:
http://blog.nola.com/news_impact/2009/02/FLOODZONE020609.pdf
(safest bets are bywater, marigny, french quarter, cbd, magazine district, and uptown near the river - the "rim" of the bowl)
2010 Census browser:
http://projects.nytimes.com/census/2010/map
(this one is really nifty - under View More Maps you can view neighborhood data by more than a dozen filters such as crowdedness, empty houses, single people, etc.)
Buy vs. Rent calculator:
http://www.nytimes.com/interactive/business/buy-rent-calculator.html
(note that as a med student it is extremely likely you will be moving in four years)