The TRS 162 will be awesome for you. There is a break in stiffness between the 159 and the 162 and you will do better on the stiffer of the two. This Lib has less effective edge and contact length than the same size in the NS, so do not let the tip to tip length fool you.
Both of the decks you are looking at are terrific and you will not be making a mistake with either board. Both will be very good performers with the AT's.