"any opinions out there?"
Now that you've had several eloquent posts arguing for lightening up and using low cuts because mid ankle/high tops don't provide ankle support, I am going to give you an opposite opinion, based on the assumption that you may have reasons for such a heavy pack, e.g. climbing gear, extended routes with no resupply, etc. A properly designed mid ankle shoe does, IME, supply enough ankle support to arrest an ankle roll short of a sprain(or worse). Tony Beasley recently posted a very informative mini-meta study that contained results both pro and con, so at least some serious people have found data supporting the ankle support hypothesis. My personal experience definitely falls in this category. With this in mind, I would suggest you browse the La Sportive website under the backpacking/hiking shoe section. They have several mid ankle shoes, both GoreTex and non-GoreTex that weigh ~2.5# for a pair that may meet your requirements. I suggest La Sportiva because I used to use their Trango Guide, a mid ankle approach shoe that would have met your criteria admirably. I used them in some pretty rough country for several years when I was still carrying 35-40# and transitioning to borderline UL. Unfortunately, they are no longer made, but I noticed that several shoes in the section I mention above appear to be made on the same last. Worth a look, IMO.
Having said all this, I would heartily concur with the majority opinion that you should, if at all possible, lighten your load to the point where you may not need extra ankle support or find it in a lighter shoe, such as the Inov8 Roclite 390 GTX. There are overwhelming advantages to going light that are well worth considering. Browse through the forums and articles here and you will quickly understand what I(we) are talking about. Good luck.
As for GoreTex, +1 to Roger's pithy comment: "There is that hole". ;-}