If things go as you say here:
RPI>Brown (H2H Sweep)
Princeton>RPI (H2H Sweep)
Brown v PU tiebreaker with a split would go to record vs. top 4,which will be decided when the top 4 are finalized
Brown can't come in tenth because they will lose the tiebreaker with RPI.
according to
http://www.playoffstatus.com/ecachockey/brownwhatif.html with a win, Browns last place chances drop to 93% with a 7% chance at 11th
according to the same site, you will be eliminated from 11th in either of the following scenarios:
Spot #11
Case 1
Cornell beats Rensselaer (my exp. This would leave RPI in 11th,holding the tiebreaker over the bears), your best shot at 11th comes with a win and a RPI win or tie
Case 2
Princeton beats Brown -obvious explanation, 17 pts>15(17?)>13