You can take 5 routes:
1. name it by location
ex- Hays Gymnastics Club, Hays Gymnastics Academy, Kansas Gymnastics Academy, Midwest Institute of Gymnastics...
2. name it by location but add an adj.
ex- Kansas Elite Gymnastics, Hays Olympic Academy, Hays All-Amerian Gymnastics Center, Midwest Elite Gymnastics Club, Kansas Twisters,...
3. name it by the owner's name
ex- (Wright's---existing club, enter your own name) Gymnastics, BlahBlah's Gymnastics Academy, Jones Gymnastics Club...
4. gymnastics name (general...including USA, adj, gymnastics words)
ex- Paramount Gymnastics, Stars Gymnastics Club, American Academy, Olympic Dreams...
5. cutsie name
ex- Flip and Twist Gymnastics Center, Tumble Bugs Gymnastics Club, Perfect10n Gymnastics Academy, USA Dreams Institute of Gymnastics, Flippers USA
*I hope this helped...