Some yes and some don't
All different sorts of sports teams have mascots, whether major or minor league. However, some sports do not such as tennis, baseball, rugby, soccer and many more.
some sports teams have mascots that are associated with American Indian stereotypes
The NCAA tournament expanded from 48 teams to 64 in 1985 and increased to the current 65 teams in 2001. There are some who propose increasing the number to 96, but the NCAA tournament committee is not considering that option at this time.
Indian logos and mascots are not showing insensitivity to American Indians, some warrior type actions may be misinterpreted, but teams having Indian names are not being disrespectful.
There are many division 1 NCAA women's basketball teams. Some of these include the University of Florida, the University of California Berkley, and the University of Illinois.
Herbie Husker is the official mascot for sport teams at the University of Nebraska. Hokie Bird is the official mascot for sports teams at Virginia Tech.
the legacy of racism (apex)
There are 68 teams in the tournament. It used to be 64 (actually, there were times that it was less), however a new automatic bid from the Mountain West conference forced the NCAA to make it 65. It was expanded in the 2011 tornament to 68 teams to allow some "bubble teams" to qualify, who would not of in the 65 team system.
There is no best. It is all chance. If you do some research on the teams that would help your chances though.
cougarcardinalcoyote
Some of the mascots in my school district are the darts, the lancers, the knights, the titans, and the vikings.