Guess I'm just crazy thinking a sports car should have actual sticky tires on it.
I personally run the Conti ECS's when I need to drive my car on the street. I've even done an autox event with them when I didn't feel like worrying about the threat of rain that day. I wouldn't consider them "stickier" tires which is what the OP asked for. "Stickier" tires are going to be your 200 TW tires that people are using for HPDE's and autox.
Guess the 370z community has just gone down market in the last few years.