In order to get good at the long range game, you need to shoot, "Allot."
I got the 110BA in .300wm and love it! i can afford to shoot often and the bullet choice is out of this world! So far I have shot out to 1300yds, and plan to extend it to 1760yds. If you want to get bigger(.338LM), just upgrade later. it can be an expensive sport, but there is nothing like seeing your hit on a small target over a kilometer away!
I just started shooting the Berger 210Gr. VLD, (Hunting variety, red box).& R22 powder. (Fed 215Mag. Match primers). My first group with this bullet recipe shot into 0.165"! Yes you read right, 0.165"! I didnt expect it either! one of the best groups I ever shot with a magnum rifle! I will try this again this weekend. Hopefully I can keep it under 0.5" That would make for a very effective long range rig. All I have to do is shoot my best. Thats the hard part.
Gook luck and have fun with what ever you choose!