BartB.& the others are spot on. As a practical matter there won't be much difference between the three. However, if you want to fine tune this and ignore all the variables but one:
1. All other things being equal, the 6.5 creedmoor will always lag behind the .260 remington in velocity, due to less powder capacity in the creedmoor.
2. The .260 remington has the largest ratio of case capacity to bore volume of the three cartridges. The 6.5 creedmoor and the 7mm-08 are essentially identical. Therefore, the effect of barrel length on velocity will be the greatest on the .260 remington. It should be about the same on the other two.
3. If recoil is a major consideration for a new shooter, then I would chose the 6.5 creedmoor, because of lighter bullets, less powder and lower velocities. The downside is that brass is expensive and not as available as the 7mm-08.
Actually, since you stated that this rifle will never be used on anything larger than whitetails, then you may want to consider a .243. A 95 grain nosler partition or a 100 grain speer grand slam should be adequate for the largest whitetail.