Do most summers go by without the temperature getting to 100 degrees and above?
It gets up to around the lower to mid 90s through the summer. If it's a really wet monsoon, temps are cooler (sometimes 20 degrees cooler). It's a bit unusual to see temperatures (at least in my neck of the woods) hit the triple digits. If you want to avoid triple digit temps, places to live/visit in New Mexico include: Ruidoso, Los Alamos, Santa Fe, Las Vegas, Chama, Raton and Taos.
Places that do see triple digits: most of southwestern and southern New Mexico. And sometimes the eastern parts of the state: Clayton, Tucumcari, Santa Rosa, Portales, Clovis, Roswell, Carlsbad, and Hobbs.
Other areas that see temperatures close to what I see in my area are western and northwestern areas of the state (Gallup, Grants, Farmington). Central New Mexico occasionally does see triple digit heat, but not every year. This year in late May it was pretty bad. Last year in late May, it was very comfortable, then the heat came. The year before that, it was hot and cool off and on.