OK, here's my usual post whenever insurance comes up.
Most of the membership here focus on getting enough money back from an insurance claim to cover the replacement cost of their cars. For that, you need one of the specialty companies already mentioned and an 'agreed value' clause.
I, and a nutball minority, are more interested in driving with no restrictions and the simplicity of including the car in the existing coverage we have for our 'normal' cars from a traditional insurance company. You can do that if you're very clear with the company about exactly what this car is. But, full disclosure, none of them offer 'agreed value' coverage.
In California, my car is registered as a 1969 Volkswagen, but I had to carefully explain to my company (AAA) that this is NOT a '69 VW. They have a classification for such cars (for AAA, it's insured as a 'Kit' car).
When I signed up, after speaking to the sales rep, I also spoke to a claims rep and discussed with them at some length how they would proceed in case of a claim. They explained they'd use normal procedures to establish market value, so comparable sales in a specific location play a big part in the process.
This means I'd probably get a bit less than replacement cost, but a lot more than for a '69 VW, especially now that prices for our cars have risen substantially over the past few years.
I was a lot more concerned with liability coverage and feel I'm on firmer ground there with a large, conventional insurance company. I can afford a few thousand to replace a car, but not a few million and my house for a liability claim against me. I'm not saying Hagerty or one of the other specialty companies would be less dependable there, but, for one, I'm more comfortable this way. Again, that's just me (and a few others here.)
So, this is a legitimate option to consider. The big companies will insure our cars with the same unrestricted driving you do in your Toyota. Just be clear up front about what you're insuring and make sure they understand.
You can drive the Ventura highway in the sunshine as far and as often as you want (one of our members does just that), without fear of not being covered.
And, since the nights are stronger than moonshine there, you won't have to worry about any open container busts, either.