Yes, a sad tale.
I think at this stage I really would be considering litigation. Your relationship with AAMI is contractual, and AAMI is legally obliged to carry out its obligations under the insurance contract.
Naturally this would have to be looked at thoroughly, but I think you have been more than patient to date.
To be able to bring a successful claim for performance under the contract (and indeed I think perhaps also damages for negligence / loss of use of car, etc.), you will have to have an expert opinion from an appropriate person. This may be the person you have already seen, or a professional auto repair assessor.
You will need a written report about the repairs not been complete/carried out properly, and you have to check all the fine print in the insurance contract just to confirm there is a breach, given the content of the expert report.
This may involved you in some expense.
However, what you would do first is see a good solicitor. The solicitor would very likely (I think I would), write to AAMI and indicate that this is the course you are now considering, that AAMI's performance and attitude to date has been demonstrably appalling, and give them a short time to come to their senses and get this matter resolved quickly and properly. If they don't do the right thing, then you would proceed with your claim.
If you take legal action, you will recover your out of pocket expenses if you succeed, and other legal costs.
Of course all of this would be a step by step process, and you would have to adjust to circumstances, but in broad terms this would be the approach. But you do need the expert opinion; you would take the formal action on the basis that the author of this opinion would ultimately give his evidence in court. There are many good auto assessors about who do this sort of thing; and many I suspect who will not particularly like AAMI.
DISCLAIMER: Answers from Experts on JustAnswer are not substitutes for the advice of an attorney. JustAnswer is a public forum and questions and responses are not private or confidential or protected by the attorney-client privilege. The Expert above is not your attorney, and the response above is not legal advice. You should not read this response to propose specific action or address specific circumstances, but only to give you a sense of general principles of law that might affect the situation you describe. Application of these general principles to particular circumstances must be done by a lawyer who has spoken with you in confidence, learned all relevant information, and explored various options. Before acting on these general principles, you should hire a lawyer licensed to practice law in the jurisdiction to which your question pertains.
The responses above are from individual Experts, not JustAnswer. The site and services are provided “as is”. To view the verified credential of an Expert, click on the “Verified” symbol in the Expert’s profile. This site is not for emergency questions which should be directed immediately by telephone or in-person to qualified professionals. Please carefully read the Terms of Service (last updated February 8, 2012).