Doesn't seem like you've gotten an answer.
You need a probable cause report (hopefully stating it wasn't your fault)from the ntsb, not the FAA. I had to tell them I was beginning to file a foia request and I had it in my hands within the week. I believe that was around a year after it happened.
I don't remember how I did it, but you should be able to get the person in charge of your case at the ntsb on the phone. This is the person you should "ask if you need to file a foia request".
Good luck and I wouldn't discuss anything on here until the case is long closed. (Mine was 2009 and if you are better at the Internet than me, you should be able find some writing up I did on here)
And to chime in with everyone else, once I had the "proof" it wasn't my fault, it was a non event at interviews and in fact it gave me something very interesting to talk about as there was a lot of positive take aways from my little adventure.
The problem you might have is with the insurance premium you'll have on you for (5?) years to come. Insurance companies don't care whose fault it is when you cause a claim.
And maybe that's only an issue with trying to get on a 91 corporate gig or something that involves filling out those insurance forms?