The outer race in the rear wheel has to be driven out from the opposite side.
Freezing it sounds great in practice but its shell is thin and it carries no thermal mass. By the time you get it from the Dry-Ice or Nitrogen bath, touch it with a press of any kind, AND/OR allow it touch the wheel, its temperature will be that of the surrounding elements. It doesn't work on thin wall parts like this.
You'll need a press to do it proper. A bearing driver and hammer will work but a press is preferred. DO NOT use anti-seize!!! Oil or grease only. Obviously you can pound the old one out but be warned its hardened and if you strike it with punch or something with a thin edge that does not cover 50% of the area, its will shatter the edge and turn it into a timely project of grinding the shell in half.
Good luck!