Stephen, There are hundreds of long range precision rifles. There is not one best. Do you want to spend $400 or $4000? Here are a consensus top 15 for a person on a budget. -------What are some affordable precision rifles that won't put you in the poorhouse?
-Savage AXIS II Precision
-Winchester Renegade Long Range
-Tikka T3x Ultimate Precision Rifle (UPR)
-Browning X-Bolt Max Long Range
-Performance Center T/C LRR
-Ruger Hawkeye Long-Range Target
-Remington Model 700 PCR
-Savage 10/110 FCP HS Precision
-CZ 527 Varmint MTR
-Howa Oryx
-Savage Model 10 GRS
-Tikka T3x Tactical Compact Rifle
-Howa HCR
-Bergara B-14 HMR
-Remington Model 700 SPS Tactical AAC-SD
-Savage Model 10 BA Stealth

Stephen, most rifles are more inherently accurate than their operator, unless of course, you are Bob Lee Swagger. Shooter skill, ammunition and conditions all play a part in getting as close to a rifle's potential accuracy as possible. Even Savage basic rifles have excellent out the box accuracy and even more when you weed out different ammunition until you find the Holy Grail. That said, for the money, the (SAVAGE 110 Tactical DESERT or other Color) in your caliber of choice is hard to beat for the accuracy at the price point it offers). :--- budsgunshop.com/search.php?q=SAVAGE+110+Tactical+DESERT&type=&search_in=description

budsgunshop.com/product_info.php/products_id/97925/savage+338+lap+26+hb+mb+lam

I would start here budsgunshop.com/product_info.php/products_id/415012313/savage++axis+ii+prec+65cr+22b+threaded+barrel />Then a step up budsgunshop.com/product_info.php/products_id/9839/bergara+rifles+b-14+hmr+65+crd+22%5c%22+5%2b1+b14s352