Did you buy anything yet? Noticed this thread was resurrected.
Honestly, looking at your requirements, I thought of a 270 Win. I know traditional wisdom says it's doesn't' have the high BC bullets required to shoot long range, but go to Federal's website and compare the 140 Accubonds in these two cartridges or the 140/6.5 Fusion and the 150/270 Fusion and you'll see the 270 smokes the 6.5. The only downside is a little extra recoil. I suspect somewhere around 800, 900 yards the 6.5 finally surpasses it in some categories when comparing the 140 Accubonds, but it sounds like the 270 will be better in the vast majority of your shooting situations.
I'm not a 6.5 hater.. my precision rifle is a 260 Rem and it's awesome to shoot, but it's hard to argue with the numbers. 270 is a great round. I just built a new hunting rifle with the same basic format as my 260 (Savage action, B&C stock, Shilen match barrel) and I can't wait to shoot it. I won't be upset if it outshoots the 260, lol.