If you're not familiar with Mastodon, Brann Dailor has a Jazzy drumming style, as does Bill Ward from Black Sabbath in his fills:
Where Strides the Behometh
Brann Dailor Drummin it out
Modern Drummer Fest rendition of Crystal Skull
Wicked World (jazzy Sabbath)
War Pigs (darker jazzy Sabbath)
Also I just found a guy called Bill
y Ward looking for Black Sabbath's drummer:
Modern Drummer vest
Mitch Mitchell with Jimi Hendrix was pretty jazzy too, wasn't he? I'm most familiar with jazz drummers on a rock level, sorry.
BTW: I agree with your sentiment of Jazz drumming; it's what has inspired me to try being a drummer and take note of good drumming.