25-06 vs 7mm-08....I like where you are going, but how did you narrow to those 2?
Factory ammo or reloading?
Bolt gun?
Whitetail from a treestand? What yardage? Will you use a BDC or point and shoot?
Why do I ask all these questions?? Well, I think factory ammo will have more choice in 7mm-08, especially in hunting bullets. 7mm will DEFINATELY have better bullet selection reloading, but 25 should be ok. 25 might be limited in that it might be too fast causing you to need expensive bullets for deer.
The gun type question is all about gun weight. The long action weighs more and has a longer throw. Maybe more weight is good for your use? In a Ruger #1 both would be the same here.
Scope is key. While 25 is a flatter shooter, the 7 should be a better killer. The 7 may need some BDC at 250 +...