RE: 300 ultra , 300 win. or 7mm ultra ??
If I were to attempt any truely long range shooting it would be done with one of the .338 caliber super magnums such as the .338 Lapua, .338 Lapua imp, or .338 RUM.
The match grade .338 bullet will yield higher ballistic coefficients that either the 7mm or the .308 diameter bullets and are obviously available in heavier weights. Both of these add up to more retained velocity and energy at all distances, less drop at any given distance and less wind drift at any given distance.
Any of the listed cartridges will prople a 250 grain bullet at or in excess of 3000 fps if hand loaded. Which you would want to do to tweak out the most accuracy from your rifle.
However after saying all this I refer back to Black elk's statement in that all the power in the world will not make up for bad shooting skills. It is up to the shooter to get good with his/ her equipment and posess the skills necessary to make a clean 800 yard shot on an animal.