Rainwater is pretty clean anyway.
My household in Australia uses 100% rainwater and I provide no treatment.
I do have a first flush system, and I have very large tanks 5000Gallons.
The big tank is the secret, water cleans itself with time.
A large tank allows fines to settle and they can be filtered out with a disc filter near the pump.
I have a topic on the site about rainwater.
Rain water collection
I hope this helps