States do not set the cut-off score for passing the national exams. That is the province of the National Board of Medical Examiners. Therefore, there is no state that will override the passing score cut-off of the NBME to allow you to retake Step 3.
Individual programs may have minimum score requirements to interview potential residents, but this is generally for Step 1. Remember most applications are centralized and computerized these days, so programs can easily set a filter file to only download applications with scores greater than a certain limit; most do not go to that detail for Step 3, since the vast majority of your applying colleagues have not take Step 3.
BTW, you are falling into the trap of reporting the percentile score. Only FMGs do this. It is fairly standard practice in the US to report the 3 digit score. In addition, it is fairly common to refer to a US citizen who has trained abroad as an IMG and to refer to the foreign national trained abroad as an FMG. Thus, the phrase "I am an US FMG" makes no sense (well, it does, but it is not common usage).
Bottom line is that you cannot retake Step 3, and any petition to do so will not likely be favorably reviewed, unless you had some "legitimate" reason - ie, you got out of your ICU bed to take the exam. Therefore, you must further evaluation your application for reasons why you weren't offered any interviews:
- are you applying for a competitive specialty
- did you apply widely enough
- are your grades good
- is there anything in your LORs which is shafting your application
- did you apply early; applying late can mean all interview spots are closed
- do you have US clinical experience
and so on. There is nothing you can do about your USMLE scores now and it may not even be the case that they are responsible for you not finding a position. Its time to find other reasons and make a plan B.