Josh,
You have discovered one of the paradoxes of Westchester County. Flatter roads tend to be higher traffic, and our club's shorter rides tend to be on flatter roads therefore higher traffic.
A couple of roads you can try from White Plains would include Rosedale (off of Mamaroneck Road (it's almost at the Harrison boarder) and Kennelworth. I have ridden Rosedale North, make a right on 127 and the first left after crossing the Hutch is Kennelworth (there's a bit of traffic on 127 but you're not on it long. You can take Kennelworth all the way up across 287 and go left on Purchase street (120) and you will be right by SUNY. At the end of 120 you can try going left and I believe it becomes Lake which takes you back into downtown White Plains.
Unfortunately WP is a busy town and the further north you go the quieter the traffic tends to get. As you gain experience and strength, perhaps you will discover some of the less traveled, albeit more hilly, roads.
Good luck!
Rachel