I owned an H3 Alpha for a while, less than a year. Capable off-road machine, but it yielded dismal mpg (less than 17 mpg highway) and it's FT4WD (AWD) doesn't seem to function as well as the one in my 4Runner.
The ride was rough, seats were uncomfortable...there were a lot of strikes against it. The only saving grace was the noticable torque and HP of the 5.3L V8. I fully DO NOT understand why anyone would have ever bought a 3.5L (pre '07) or 3.7L version of that vehicle. My Colorado (2006 crew cab) had the same 3.5L L5 in it - and shares the GMT355 base platform with the H3 - and it rode only mildly better - and was way underpowred. No biggie until you figure that the Colorado weighed 600# less, at least, than the 5000lb H3. 100 yds from the Toyota dealership on my test drive and I was 110% happier with the T4R ride, power and smoothness than either the H3 Alpha or Colorado CC Z71 (my last 2 vehicles prior to the T4R I just bought).
I'm with the other poster, all things being equal, if I ever lose my mind enough to own another Hummer, it'll be a government clearance H1 mil-spec model.