Yup. I have been calling around locally. Not sure if Nikon will service something this old.
I very much doubt that Nikon would touch it .
To be honest , I'd be surprised if they still worked on the F6 .
There's a few places in the states that I believe would do a good job on it for you .
I can't recommend anyone as I'm in Europe , but try doing a search on here for "camera repairs in the USA" or start a thread specifically on where to send it , asking for somewhere local if possible .
It took me three attempts for me to buy a fully working F3 , first one arrived dead .
Shutter wouldn't wind , shutter release button did nothing , new batteries in it , even the mechanical release did nothing .
Sent it back .
Second one arrived . Exactly the same .
I asked on here if there were some weird quirk with this camera that I was doing wrong , unlikely as I've been using all sorts of cameras for the best part of forty years .
So sent it back .
The next one I saw was being advertised as faulty as the catch on the back was damaged . I checked with the seller if it was fully functioning asides from that and was assured it was . So I bought it at a good price , along with a replacement back .
This time I got lucky and it's working great .
Hopefully you'll get your camera fixed it soon and enjoy using it .
