Often times mountain climbers / backpackers will post pics and trip reports containing sightings of mountain goats. You can milk them for info. Again - you don't have to say you want to hunt (`kill' one). I find that the conversation stops among some groups when you want to ... well, bring one home and put it on your wall.
Here's a nice billy we ran into on a recent backpacking trip (Idaho). Trying to talk my daughters into putting in for a tag - but so far no interest.