As an owner I would tell you to go with the Supercharger. This one in particular:
http://www.nsxprime.com/FAQ/Performance/comptech_sc.htm
Turbos do strange but not wonderful things to the motor of an NSX.
you have to keep in mind that the motor you are playing with is $23,000
The stats that the above site is showing is for the older 3.0 engine, in later years you get a 3.2 (stick only)