Yup. Only you can weigh in the results we can only offer direct feedback of our own experience.
I'd say the 200 would be a great choice for you IF you didn't have all that field sports especially field sports under natural light. I highly highly recommend the 300 2.8 mk2 OR the 400mm 2.8 IS V1 for your needs. IF you don't want a lens that isn't serviced by CPS then the 300mk2 is an excellent choice and as far as IQ goes it's better (on a 16mp sensor) at 420mm F4 than the 400mm 2.8 IS V1 is at 2.8: http://www.the-digital-picture.com ...omp=0&FLIComp=0&APIComp=0
If your shooting for the college then chances are for volleyball/hockey you have all the premium sideline spots available and for those two I'd rather use the 70-200 over a 200/2 just to be able to zoom out. Then you could have the 300 2.8 IS II with you for if you want to reach further.
300 3.8mk2 would be my pick (with your 70-200). Until you can swing the 400