Working with sports teams just isn't as glamorous as you would think. Granted this is a personal opinion. It is exciting in the beginning but the hype wears off and it just becomes a job. The people I have seen who enjoy it the most are young females that get lots of attention from the athletes and also dudes that are super fan boys. The hours are funky and long. Some of the athletes are prima donnas...some are really cool tho (side note: the most elite/famous players are usually the coolest in my experience.. its the "no name" dudes that give the most tude). Part I enjoyed the most was all the free gear/apparal you get
In regards to the UFC, do you train? I actually have a connection to a higher up the UFC (vice president) through my professional network. Do you have any combat sport medical experience...for instance I have acted as coner/cut man for people on my muay thai team when I was living in Thailand. You might be able to get some sort of intern gig.