So for hunt areas that encompass lands within the reservation, there are a couple different things in play here. Since we're talking about deer, these areas are 120, 157/170, and 171. Basically, for area 171 a non-indian can only hunt lands that are considered fee-titled, or deeded, and not any lands held in trust by the government which is the vast majority of this area. In other words, you'd have to secure permission from a landowner whom holds the deed to the property in order to hunt legally in this area as there is no land considered truly public.
Areas 157/170, which are within the reservation boundaries, contain private, public, and tribal lands. Tribal lands (area 170) are off limits to folks who are not tribal members. The private lands in 170 may be hunted, with the proper permission of course. Area 157 is comprised of BOR (Bureau of Reclamation), State, and private lands, there are no lands considered Tribal within 157. For all intents and purposes, the BOR land can be considered the same as BLM from an access standpoint.
Area 120 has Tribal, State, BLM, and private within the area.
In summary, you'll want to do a good deal of access investigation if you want to hunt any of the areas in this region.