RE: Remington 700 vs Savage 110
Group sizes depend on lots of things....the gun itself, the ammo the gun likes best, and most maybe most important, the one behind the trigger. You won't know for sure until you go thru the paces. Both rifles have a decent reputation for good accuracy.
The second thing is.....if you have a 30-06 now, buying another one just doesn't seem logical to me. Have you tried different brands of ammo in it to see what it wants to eat? If not,give that a try. It may surprise you. If you have already done that, and are still dissatisfied with the groups you get, it may make more sense to send it down the road and get something else. Do you handload? Handloading for a particular rifle can be the difference between night and day when it comes to getting those tiny groups you want. In any regard, don't settle for cheap optics. If you are shooting thru a POS, you may tend to blame it on the gun, Get good glass and mounts to start with, and take an unknown out of the equation right off the bat.......