There are a couple sorta trophy areas, but really no better odds for finding and killing a giant there as opposed to a researched OTC area. There are only so many big animals. I would argue that OTC areas are better than any draw areas, but I like that people think otherwise. haha
The Koyokuk is a complete goat rope of a hunt logistically, and offers no better chance than anywhere else. For half the headache you can hunt better places for the same price or much less, and not run into people on every bend of the river. YMMV. Watch Randy's moose hunt, and you'll get an idea of what you can expect. I was scathing my head when he said he drew and was planning this hunt. While cool adventure, its about the hardest logistically in the state, and most heavily hunted area.
Also note that Koyokuk area is "OTC" registration with antler destruction for residents. There is something like 40 draw permits issued to res/NR (allows you to keep antlers), and about 1000 Registration permits issued, which requires destruction (cut top palm off) but allows for any bull.
As far as other "trophy" draw areas, I'm not really aware of any. The biggest moose killed, year in year out, are all on OTC tags in remote areas in many areas of the state.
Most people couldn't tell the difference between a record book "trophy" caribou and a nice one.
If looking for a representative, don't waste your time with the drawings, unless you want to hunt a special place.