What brand of dies are you all using for reloading the 22 Nosler? Do I need to use the small base dies if I'm shooting them in an AR rifle?

Consider the Redding brand.

Just me talking, but I always use small base dies for reloading for a gas gun.

I will check and see if Redding makes a CMP set of dies, and report back.

OK, Redding does not make small base dies yet. Redding does offer a National Match Die set, and a Premium die set. I think you would be quite happy with the National Match set, especially its taper crimp die.

If you have an eighteen, or twenty inch long barrel, your trajectory will get pretty darn flat .

YMMV.

Good luck with your new rifle.

I did some reading. Two different sources recommended NOT using small base dies in the autoloaders to prevent overworking the brass. In any case, small base dies are usually only made in .223/5.56x45mm NATO, 308 WIN/7.62x51mm NATO, 30-06 Springfield, and sometimes 300 WIN MAG.