Bearpaw - it appears that you have already made you decision. And based on the feedback, it sounds like the range of calibers are all similar.
I shoot a 300 RUM and find that I don't have enough time to target shoot and work on load development. I am shooting really well out to 500 - 600 yards. I don't practice enough beyond that. I have committed to having some work done to it this winter and will be making some time to play with some different loads.
I think you would be really happy with any of the following:
300 RUM
338 RUM
338 Edge
338 Lapua
30-378 Weatherby
33-378 Weatherby
The 338 heavier chamberings seem to be the most popular as they run the highest balistic coefficients and they can still push them fast enough out of these cases to make it worthwhile.
Every once in awhile the .325 conversation comes up, which would be the 8mm-300RUM, which Ultracat calls the 8MM Ultra Cat. I would think this less popular version would work well, but provides less selection in bullet choices. But it just depends on how bad you want to be different from the herd.