Why not sign up to retake in February? You have time to make a concerted effort between now and then. It is admittedly not as long as would be ideal, but you are already at 161. Five more points and you would be getting into better schools and getting big $$$ at the schools you are considering now. Seven more points and you'd get WashU and UMinn with $$$ (I realize you want the NE but these can at least act as bargaining chips) and have a shot at Cornell. Ten more points and you'd be in at some T14s and have $$$ at some T20s. If you did add ten points, it might be wise to wait a year and reapply at the beginning of next year, but cross that bridge when you come to it. Maybe you add five points and get the full ride at Rutgers (any way for you to defray living expenses?) and are satisfied with that.
What did you do in preparation for the LSAT?
Oh, and regarding scholarship negotiations, you will probably have to wait longer until the realization sinks in at the schools that they aren't going to get enough students, let alone the students who will maintain their medians, unless they throw significant cash around (see, eg, the cycle last of TLS poster Wily who was like a 2.8/167 who had pretty terrible options until late April when T20 schools not only started admitting him/her but throwing significant money at him/her as well out of desperation, I presume). The other thing you need to be prepared to do is to walk away if they don't give you what you want. For RU-N, for example, you should not settle for less than a full ride. If they won't give it to you, don't enroll. Seriously. Last year people were getting emails after having withdrawn offering them significantly increased scholarships. This is a student's market. Don't give up that advantage.
ETA: Just happened to wander over to the American Univ. 2016 thread in Acceptance/Denials/WLs and noticed you posting in there and have to add: DON'T GO TO AMERICAN except possibly with a full ride but even then I would be skeptical. American is one of the worst schools out there in that they attract people with their supposed T1 prestige but have atrocious placement for a T1 (worse than many T4s). You will probably get in but don't consider it. RU-N at 40K is infinitely better than American at 100K, a generous estimate since at sticker it is more than 200K. I hope I don't sound too paternalistic. I am really trying to help.
