Give your body time to acclimate. Start trying to gain elevation a few days before the hunt. Gain elevation slowly. You will begin to produce more red blood cells.
The climbers rule of thumb is sleep low climb high.
If you start to feel ill drop back down before it becomes more serious.
I climbed to 22,800ft once. I felt HACE, HAPE, cheyne stokes, but they are all manageable if you pay attention. I used diamox but what really got me through was drinking more water.