The HH is oud, but that's not the problem, the problem is it sounds nasty as fuck.
maybe try notching out some of that on the OH track, see if it fixes that without destroying the rest of the cymbals.
was that eq'ed on the way in? sure hope not.
I'd still automate the OH track volume. If you have a spot mic for the HH it wont even take that long, cause you'll see where it was played. Pull down the HH sections.