I had the same problem on my Nikon D3200 after I dropped it to the ground on a very hard floor. The camera was dropped in such a way that the attached prime lens took most of the impact (lens cover came off to dampen the impact a little).
Only fully manual shooting worked. Reboot and Settings Reset didn't help. Definately hardware issue after this drop. The lens and auto-focus was working fine.
I was in Dunhuang city in China on the old silk road. Being slightly panicked, together with my chinese speaking friend I found a generic camera repair guy in small electronics department store. It took about an hour but he fixed it.
Instead of replacing any part, he re-aligned the optical metering channel on the lens mount of the camera body. Turns out the drop affected this part in such a way that it was not aligned anymore. I can't give any more details because I couldn't find any schematics online on how exactly the metering system works.
It took him some time to narrow down the issue by disassembling most components of the body. I don't know exactly how he re-aligned it - he even called a friend of his in who works on Nikon repair in Germany to get a second oppionion. At the end I saw him strongly handling parts of the lens mount back and forth until it was re-aligned.
Overall great experience. The whole thing just cost 400 RMB (about 50€) for his time because he didn't have to replace any more. Now, about 3 weeks later the camera is still working just as-new even though I didn't stop giving it my usual "use it and abuse it" treatment. (No, I didn't drop it again.)
I'm very thankful to this guy because he totally safed my photographic life on this trip. It's great there are still people outside who can repair instead of replace, even if you have to go to an old desert city in western China. Official Nikon repair centers could take a hint from this story. The "Metering Error" after drop damage seems to be an often repeated fault line on Nikon bodies that apparantly can be fixed (at least in my case) with some fine tools and lots of patience. I'm not saying it is easy nor that my case applies to all other cases but there you go.
You may want to share this story with your Nikon sales rep or repair centers next time they give you a $260 quotation.
Have fun and keep fixing stuff!