My experience has been that the only companies that really honor "stated value" policies are companies like Heacock and Hagarty... Zurich American is another. There are few others as well... in most cases all it takes is an estimate from a licensed shop and pictures and they just send a check... Often, if there is additional hidden damage, an additional explanation and claim are required and then they cut another check... sometimes they need a little convincing, But they generally live up to the policies. State Farm and Allstate are among the WORST companies to deal with. This is why I suggested that you contact the state insurance commissioner... This is the entity that makes sure that companies abide by their policies and agreements... State Farm and others will sell "stated value" policies, but will then dispute the values and try to get you to accept an outside appraisal of the car's worth.... Often by people that have no idea what the car is, or what it's really worth. But that's why a stated value policy with State Farm is so much cheaper than one from Heacock or Hagarty.. 20 years ago I had a policy through State Farm along with my regular cars and homeowners on a Healey...the cost to insure the Healey was less than $100 a year... when I reinsured the car through Zurich American it was $600 a year... when it was damaged in an accident, they mailed me a check for the repairs... previously with State Farm for a no fault claim I went through absolute hell to get reimbursed for a claim..
cheaper isn't better... you get the service you pay for.