I ran the GTX3071. Its too big for circuit work. Never on boost when it counts. Keep it as close to standard set up as possible or you will spend a lot of money and time and stress for little gain.
Just replace the stock turbo with a 28/60 something, internal gate, sleeve bearing. Cheap ,simple, bolt on, very similar power with better torque.
Do not buy a ball bearing turbo. If it get hot it will fail the bearing then dump the broken bits into your engine. Based on my last experience with 3SGTE turbo upgrades. You could always fit a supercharger. That would be pretty cool!
If you want better times, spend the same amount of money on SPAX coilovers which would be custom rates for your car. Then drive training.