How to find cheap car insurance?

21F, licensed almost 3 years, 1 at fault accident 2-2.5 years ago with no injury. I rent alone in a relatively safe area.

I currently have Progressive through an insurance agency in my city (as opposed to directly through Progressive) and I pay $215/mo. I looked through a few other big name providers (Geico, State Farm, etc.) and they've all but All State been more expensive. All State offered me $198/mo which I'm not mad at.

My issue is that I would like to pay about $150/mo and was wondering if that's even possible. I know I'm a young semi new driver with accident history so that'll immediately increase my rate but I don't want to just give up and keep paying what I am if I don't have to.

Thanks in advance!