I have a 7mm-08 that I've had for 15 years. Dad bought it for me for my first bolt-action deer rifle. It's taken many whitetails out to 400+ (free-hand shooting). I still have that old Ruger sittin in the safe, but these days my main deer rifle is a Browing A-Bolt II Composite Stalker w/ BOSS in 7mm Rem Mag.
The BC of a bullet doesn't change from caliber to caliber......Each individual bullet (projectile) has it's own BC, that varies from brand, model, and bullet weight, whether it's loaded into a 7mm-08, or a 7mmRUM, or anything inbetween. I think what you are meaning to ask is how will it's trajectory or ballistics be for shooting deer at that range.
Either way, I think the 7mm-08 is a great round, I shoot 140gr Nosler Accubonds out of my handloads, and for factory ammo I shoot Hornady 139gr SST's. I'm not sure, but I'm sure someone (probably Nosler Custom) offers 7mm-08 factory loads with Accubond bullets.
If you are wanting a nasty 7mm caliber that is perfect from 100-1000+ I'd suggest looking into a 7mm Rem Mag, or a 7mmSTW. But is a very expensive caliber to shoot if you don't handload.