I would like to anwser to this old post too.

Last year I went to Alaska. It was a combo hunt, so I bought a moose, grizzy, dall & Black bear tags. I can't remember exactly, but I think It was about 5000 US$

After 15 days I came back to the lodge with just the moose, a big one, but I only could shoot a moose. I saw some small grizzlys (I refused to shot) and several Black bears who didn't want to be hunted.

Well, I'll be there again for one animal each time. I think is the safe (and cheap) way to do it.