While not a fan of pro wrestling, I have enough friends who are big fans of it to appreciate what's going on and why it needs to be scripted. (Mainly because if it wasn't, the average wrestler's career would last maybe, maybe, five matches, before spending the rest of their productive lives in traction.)
The key thing to understand is that pro wrestling isn't all about piledrivers and body slams. Storytelling also plays a major element, with stand-up segments and skits helping to set up the conflicts that are to take place in the future. Two random wrestlers don't just climb into a ring and beat each other's brains out; there's a backstory and profile for each character, and the match you're seeing has probably been percolating for weeks.
As for the whole "non-violent" angle, you're kinda asking for non-dairy ice cream there. Such a thing might exist, but you probably wouldn't want it anyway. Steer clear of gimmick matches like the ladder or table matches, and avoid non-disqualification bouts, since that's where the folding chairs and other paraphenalia come into play. Other than that, it's really a matter of the style that the two wrestlers employ, and like I said I'm not well-versed enough in that to really make any recommendations. If anything, just remember: every move you see, no matter how brutal, was carefully planned ahead of time. Like I said, it has to be, otherwise everyone would break their neck after a week.