Another vote for .308, because unless you're shooting at VERY long distances, .308 will do all that 6.5C will do. As mentioned, it's easier to find, and usually cheaper, too.
And good advice on the barrel profile, which points up the difference between a hunting rifle and target rifle. Neither works well in the other discipline.
That's not say you can't shoot your scoped hunting rifle out to great distances, but you aren't going to be competitive with it. And as mentioned, you won't want to haul an F-class rifle into the bush to go hunting. Well, not more than once.
And getting back to cost- I don't know your budget, but with even .308 running at about $2.50 per round (quick grab from Cabelas and 150gr bullets, and there were a lot more pricey options), just think about the cost:
BANG (there goes $2.50) BANG (again) BANG (hmmm) BANG (well there goes 10 bucks)... Put it this way: when you do shoot that stuff off, SAVE YOUR BRASS, because you'll either stop shooting completely, or start rolling your own. Brass can be used many times.
There's a reason why so many are taking up rimfire: cost.