I already have high deductibles, a few years ago I asked about raising them and the difference was negligible.
I'm in the great soggy state of Florida, I know at least one neighbor who is self-insuring - they did add an umbrella policy. For most people that's not an option since they have mortgages. More and more people are being forced into the state-funded company of last resort, and even that's getting too pricey for many.
My insurance company is now requiring that I completely replace my roof even though it's not leaking. I did have a small leak around the chimney a couple years ago, it was difficult to find a roofer who didn't want do a whole new roof and claim it was from a hurricane (it wasn't, I told them so via text so there was plenty of audit trail). That sort of nonsense has just added to the current crisis.
I'm heading towards self-insurance or leaving the state.