The numbers look good but you are taking on additional risk due to it being a 6 BR. I own a student rental in a true college town, and I don't know of any properties having more than 5 BRs other than fraternity housing.
Usually students like to live with their friends. There are plenty of groups of 3 or 4 friends looking for off-campus housing. A group of 6 could be pushing it, and matching up two groups of three, or 6 random roommates for that matter, could be disastrous. You may attract fraternity or sorority members, which would be great for reducing vacancy but potentially terrible for the condition of your investment.
I don't know your market, so maybe filling a 6 BR is relatively easy and straightforward. Let me add that I'm sorry about the taxes in NY (my taxes for a property of similar value is less than 25% of that amount).
Just a few tips if you do go through with the purchase and rehab: Make energy efficient upgrades (windows, appliances, etc.) so the students' utility bills are better than average; have parents co-sign on the leases; and think about including utilities in the rent, such as water and internet, and raising the rent to compensate. It will be tough on the one person who puts the utilities in their name and then has to chase down their five roommates to get payment for their share.