RE: 30 06 shooters
The new Remington Corelokt ultra is really good and shoots good in my savage. Federal has the premium ammo line and is available with the Nosler Partition. This bullet has almost mythic status amongst big game hunters.
If I were you, I would pick a bullet and find the factory ammo that has the bullet and weight you want.
My buddy swears by the Swift A Frame. Another buddy used to use the Winchester Silvertip but now uses the Winchester Failsafe.
I use the lowly plain Jane Remington ammo with the original Core lokt.\
For deer sized game most of the good ammo will suffice. I just buy the Core Lokt because it's cheap and shoot good in my mauser.