Kann, you ride, don't you?
One of the nice surprises when I upgraded my K1200RS with F&R Ohlins was how it handled bumpy surfaces. I was expecting it to be more firm, but the compliance of the Ohlins was a revelation. There is an Ohlins suspension for the 370Z...but it costs between $4254 and $5059 yowza might not be within your budget.
Pro Stock Racing Spec Ohlins Suspension for 370z | 370zblog.com
Completely agree on ride height, no way would I lower this thing on the street with the roads the way they are around here.