It appears that you have already consulted 4 attorneys concerning this matter and if all of them told you that you need a pardon from the president, then that is what you should seek. These background checks are becoming a major concern for people. the mugshots type of websites are basically extorting money out of people to remove mugshots from their website. There should be some new legislation on these sorts of problems in the coming years, but until then, there isn't much that can be done for people, aside from filing class action lawsuits, which simply would not work in your circumstances.