Soft springs, soft dampers, raised front, right amount of droop. Also motor and battery position in the rear and high up, and having the motor rotate towards the rear of the car.
A lot of factors. Could be any of the following and their combinations: anti-torque configuration, soft damping/springs, turbo/boost settings, rear grip.
Hey man. We really don't run carpet but just check out your local rc shop or sites like rcmart. I would assume yokomo, reve d, and ds racing have some good ones.