Agree with others. Rare, but possible. I wouldn't be concerned with a 30-06 at all. They die just as easy as any other bear. I'd be more concerned with weather than griz. I have seen 80 degree days that time of year, snow that time of year, and anything in between. You really need to be prepared for anything. Weather changes fast and can turn bad quick. Generally, it's not bad with mild temps and sun peeking out behind clouds. But have rain gear and some compressible cold weather liners if possible. Easier when truck camping obviously. Lastly, I've seen more than one truck stuck in spring snow bear hunting! Nothing worse than coming around the corner on a dry gravel road to a 100 yard patch of snow left on the road thinking you can power through it! That spring snow is a real bitch when it's warm. Almost like a slush on top of ice. Be careful if trying to blast through any short stretches of snow left in shady spots! Bring a shovel!