I did the 2.2 / 25.4 = .0866 and it didn't look familiar, other than it is 1/10 the sine 60 = .8660, which made me wonder more about the choice of diameter.

I almost made a bold statement: "if you need nuts for 2.2mm x 56 tpi, you might have to make your own", good thing I didn't!

Good that 2-56 will work. It's a coarse thread (UNC),

That Park site is great for torque specs, repair and maintenance help, and technical data in general.

Good luck in your project.