Is there an ERR message on the camera and does it register the aperture setting?
Ok. First of all, I've never heard of any compatibility issues with Nikon AF-S lenses and any of their camera bodies. After all, lens interchangeability is one of Nikons claim to fame. There can be other issues which will cause the lens not to work on the D750 but will take some disassembly and diagnosis to repair and, since it is a Nikon, both lens and body will need to go to one of their repair facilities. There's one on the East Coast and one on the West Coast. Here's a link to the Nikon site to get you started.
This is the first I've heard of this. I'll look into it a little further. But, if the cure is to replace the DC/DC board, it'll have to go to Nikon anyway. They don't sell this part upgrade to independent shops. Otherwise, I could recommend a good low cost shop for you.
I've done some checking with Nikon and, although there is no service advisory out for this particular problem, they do seem to be aware of it. You'll need to contact them directly. In mos cases, Nikon will do the upgrade for free.