I would say the most important points are:
– Make the name reflect what you and your organization stand for
– Make it something that drawls the demographic you have in the area and you want in your facility (don’t name it Hard Iron if you want 35 year old stay at home moms that love yoga)
– Make it timeless: You want your facility to last through the years, don’t name it “Twerk Fitness” if no one will know what Twerking is in two years.
Hope you are having success with finding something.