[Kevin Sevcik]

Thaaaat's a fancy pneumatic system. Very impressive. The only thing I can think of that would make it more impressive an responsive would be PWM control of your catapult solenoid valves. If you have fast enough solenoid valves, you can actually send a PWM signal to them to modulate the flow rate. So 100% duty cycle when you're first loading up the pressure, then you reduce the duty cycle as you approach your setpoint. If you do it right, you hit your setpoint and don't need any bleed-off. You could PWM the bleeder as well, obviously.

Granted, if you get your tuning wrong, you'll overshoot just as bad as you are now and take longer doing it. Or restrict things too early and take forever getting to your setpoint. But the plus side is you might not need any new hardware to implement it, just fancier programming.