When it comes to odds of dying, small planes up the danger quite a bit. While airlines are significantly safer than driving, general aviation is significantly more dangerous in terms of fatalities to hours of operation.
Much of safety is attitude and knowledge and the choices those two things lead us to make.
Snakes kill more people a year than bears in the US.
Of course, none of those really address your question. Any hunt that involves mountaineering activities such a glacier travel or a need to place protection (i.e. rope up). Also throw in winter hunts in avalanche terrain. All areas where risk can be mitigated, but at times the right choice is to not go.
There is a goat hunt I want to do where my access method would involve mountaineering and the weather is such that digging wind protection for a tent every night is highly recommended regardless of how nice things look and even with a good weather forecast it could turn into a week of being stuck in the tent hoping the wind does not shred it waiting for the weather to clear. Their are also brown bears in the area. However, it is a draw tag and I'm not inclined to name the area. Though, I've given enough away someone could figure it out if they wanted.
South East AK has some wild country. I know some locals who say they will never hunt Baranof Island and Etolin Island again due to the conditions. I also know I guy who puts in 60 plus days a year, every year, between those two, so clearly they are huntable. The last goat hunt I did in the South East, one of the local SAR guys said he had been up that mountain and would not be going up it again so I had better not need to be rescued.
He had a point too, it would have been a nightmare of a place to try to find a person in and a whole new nightmare to extract them. Easiest way I can think of would be to cut a large enough clearing on a 35-50 degree slope to allow a Coast Guard helo to hoist someone out. The weather made the skiff ride back out a bit dicey and once I was in an area with roads I chose to put in and call for a ride rather than attempt the run back to the boat ramp.