I'd suggest looking into Tai Chi. From what little I know about the philosophy behind it, it's big on channeling and moving energy and the slow, controlled movements might help keep your brain chatter occupied.
That or maybe Kung Fu? In your case I'd go for a school which focuses on forms/performances rather than combat training. There's a certain spiritual focus in going through a form/performance. Every form has its own spirit you connect to while practicing it and you seem to enjoy stuff with harder physical work. Taiji Quan goes a similar way, but it's mostly practiced slow and meditative (unless you go for Chen style). Kung Fu has more of an ecstatic component in my experience. It's all very controlled though. If you are interested in pure ecstacy you might want to look into trance-dance or something similar. But the controll in martial arts is very good if you're inexperienced IMO or need the controll for other reasons.
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