Are there any insurance company’s that will provide full coverage for a “Rebuilt” car??

I’m looking at buying a used SUV (all that I can afford at the moment & must be an SUV) that has a rebuilt title, and I’m trying to figure out the insurance side before committing.

I understand rebuilt titles are more difficult to insure, but I’m specifically wondering:

– Are there any insurance companies that will offer full coverage (comprehensive + collision) on a rebuilt title?

– If so, which companies have you all had success with?

– what did they require (inspections, photos, or documentation for repairs)?

– Was the premium significantly higher compared to a clean title?

– How does insurance value the car if it’s totaled again?

I know liability-only is common, but I would really prefer full coverage if possible as this will become the family car & this is our first car purchase. Just trying to understand what’s realistic before we go car shopping on Saturday.

Any real experiences or company recommendations would be super helpful. Thanks!