k20z2 is somewhat equivalent to the k20a3 from the base model integra dc5
Both motors don't have the "true vtec" which is what some will say and both motors lack in power compared to the -
Jdm k20a (Jdm dc5r, Ep3r, Accord euro R)
k20a2 from the Australian delivered dc5r and the
k24a3 from the accord euro.
k20z3 from the dc5s (not sure about type s motors)
Your best bet is to stay with the motors I mentioned above. They all will fulfill your needs on the track with simple bolt on mods and a tune.
Of course you can do happy laps with the k20z2 but it's very slow and boring... you're better off with a b16a2 instead haha.
Also the b16a, b16a2, b18c2, b18c7 & b18c will be nice with the light eg chassis. But they are getting old and you can get better gains and outcome with
the newer K series platform.
Feel free to pm me if you want some help