What comes closest is some studies on extreme forms of Buddhist meditation. One of the interesting discoveries is that during normal meditation, the parasympathetic system (homeostasis, breathing, etc.) is very dominant, but during the peak enlighentment experiences of the advanced meditators, the sympathetic system (fight-or-flight) system associated with athletic performance also runs at very high levels. Normally, the sympathetic & parasympathetic systems are in opposition, when the sympathetic system is active, parasympathetic is suppressed, and vice-versa. The other situation where both systems activate is during sex (arousal needs paracympathetic, orgasm sympathetic). The interesting connection I made is that I'd noticed these intense flow states sometimes occurring in the most intense times, where everything in my mind was absolute calm - I called it "fast meditation", as in meditating at 85mph. I know others also experience this. I conjecture that this is some of the same phenomenon seen in advanced meditation, just form the opposite end (here, maxing out the sympathetic system and the parasympathetic maybe kicks in, but I have no measurements other than my mental state).
There's also some research on the "flow state" related to accelerated perception, where people feel that they can see insane levels of detail and time slows down, as in accidents. They were trying to recreate it to understand it, and I found the efforts entirely lame and a waste of time. I can tell all kinds of stories about seeing very clearly both important and trivial things at high speed, and having entire trains of thought which I can verify happened in fractions of a second by noting the beginning and end points of the chain of thought and calculating in the distance and speed. These studies catch none of it, and I can say that even with years of training and effort, it is still extremely elusive (which is why I can't really fault the researchers, I don't yet have any great ideas on how to capture it).
I wish I could point you to specific references, but these were all readings from a while back.
BTW, ML and sports training seems like a potentially very fruitful area! I'd love to hear more about it. I found that much of the most interesting areas are at the intersections of different fields, so I wish you good luck in your pursuit!