If you read Dr. Jean Ayres she says that for sensory integration issues, specific purposeful movements are needed. Not to say physical sports, but my son is diagnosed AS and he has found that jogging and soccer have been effective for keeping his mood pretty stable. He also utilizes rolling on the balance ball, the elliptical machine, and the ablounger. He loves to ride his bike. He gets a certain calming effect from these activities. It also helps to reduce some of his sensory things significantly.
Granted, some of us are extremely uncoordinated with gross motor skills, but I find that for the younger teens, that movement that is involved in some sports: soccer, tennis, martial arts, etc. provides a significant sensory input that helps to reduce agitations, etc. I'm seeing AS boys be more involved in sports that are of a more solitary nature: goalie on a footy team, tennis, racquetball, etc. Team sports are generally rubbish as the cooperation thing is over their heads.
_________________
"All those things that you taught me to fear
I've got them in my garden now
And you're not welcome here" ---Poe