When you say "long range" do you mean 200 yards or truly long range...i.e. 500 - 1000+ yards?
Between the new Remmy's and the Tikka, I'd buy the Tikka hands down. I have a T-3 Stainless Lite in 270WSM and love it...bolt is smooth as butter, adjustable trigger breaks like glass, accuracy has proven to be sub-MOA @200 yards with a variety of handloads and the rifle handles nicely...that being said, I'm not sure I'd call it a true long range rifle...they do however make a new T3 heavy barrel long range rifle (not currently available)...I know they (Tikka) shows a a 308 with the heavy barrel available, but a friend of mine looked for over a year and never actually ever found one to buy...that being said, Budsguns shows one in stainless available for $900...
For that price I would suggest you also look at the Savage Model 10 FLCP...I bought one to get started in log range shooting...eventually I will have a custom rifle built once my skills improve... and while I am just starting to shoot it, early results are pretty awesome for this rifle...after a year of load development, scope changes and range time I can consistently hit a 6" plate at 400 yards...I am hoping to move that out to 500 this summer and keep going. If you truly want to long range shoot, talk to someone much smarter and better at it than me...Ridge Runner on this forum seems to be the resident expert and can certainly provide you much better info than me on long range shooting.