I'll bite my lip about cross fit and save that for another thread.
The vast majority of strength coaches do not split their programs by muscles, but rather my movements. This, after all, is what athleticism is all about - the generation of movement.
There are several components of athleticism: strength and power, endurance/conditioning, agility, coordination and balance, and even how quickly the brain can process and respond to information from the ocular (eye sight) and vestibular (hearing) systems.
What I'm getting at is a few things.
First, the training should be tailored toward the current objective.
Second, full body or split isn't as important as which exercises are prescribed, and even more importantly - what are the expected adaptations of such exercises. We can just be randomly pulling exercised cards from a deck to create a program **cough, crossfff, cough***
Lastly, I think its important to set some objectives and short and long term goals. To do so, you'll need some tests to measure certain aspects of your performance. Agility, speed, conditioning, strength, power, balance, etc. By running this battery of tests we can compare your results against norms for your sport, and see where the most work is needed, and then construct the training program appropriately.
Br
ps: I live in CT too.