Elk Park is the other place that you can flag down the train. Some years ago we used that train to climb the peaks back there and have used both of those stops several times.
I think it would be one way to get into the proximity of elk that aren't under quite so much hunting pressure as in some other places. As mentioned, you would have to start at the bottom of a pretty steep gorge.
If I recall correctly, Elk Park would only get you access to the East (Unit 75) side, but I think that would be a good way to go. Slightly less steep on that side and there is a good trail out of Elk Park.
I think that train schedule may be somewhat weather dependent. I'm sure it runs all through October. November though might be something to check into ahead of time.
