It depends on what discipline in which you plan on competing?
If F-Class competition (Long range shooting prone with a scope and bipod/rest) is your ultimate objective, you cannot go wrong with one of the new Savage F-class rifles. If you reload, get the 6BR version, if you don't and don't plan to for a while, get the Savage F/TR rifle in .308 and use good quality ammo.
Both rifles are superior to just about any sporting rifle you can buy for under 3 grand provided you have the right ammo. They are designed to deliver the kind of accuracy you need to win a competition shooting 20 shot strings or more. Again, if F-Class is your destination, remember that one remington 700 is as good (or as mediocre) as the next as are most of the tactcal and law enforcement models in other brands. More money DOES NOT mean more accurate.
As for optics, that too depends on your discipline and your budget. If you want the best and never want to buy another scope, get a Nightforce 12-42X56 BR scope. If that is too much money, then find what compromises you can live with and stick to your budget. I do not reccommend mil-dots for f-class shooting, but that is subjective.