The big difference to me is that there are a lot more wilderness areas in H than in G. As a resident, I tried to focus more on H because I knew nonresidents could not go to a good portion of that area. But as a nonresident, you can hunt most all of G. Of late both areas gets hunted real hard, so that will not likely be a consideration. The winter has been tough over there. Here in eastern Wyoming, we've had another mild winter, so we are in good shape. But I can not recommmend the public land muley hunting here. Not good quality.
I feel like the draw odds should be better in the special (more expensive) pool this year. That has always been the case in the past during the year after the increase. But there are more serious trophy hunters every year, so things could change. But I'd definitely apply for the special.