Hiker..........as a non-resident you are required to use a guide. Guides are on quota, so you do not have to enter a draw even if it is a draw area for residents. If you book with an outfitter you are guranteed a licence.
Alberta has very few goat permits and they are all reserved for resident hunters.
There are big goats in BC alright. I did see the bow killed goat if it is the one I am thinking of. In the remote areas most of the big old billies still die of old age or natural causes......not hunting pressure.