Well my experiences are with a sako 75, a tikka t3 lite, an A-Bolt, a Savage 110, and had a weatherby vanguard. Son's have a remington 700 and a ruger m77. I reload for all these guns, plus exclusively for friends with another remington,ruger and Savage 116, as well as a Win 70 and Weatherby Mark V.
I have loaded and shot at least 100 rounds out of each of these guns/actions.
By far I like actions of the Sako and Tikka(same manufacturer) the best because, they shoot well but they also have the smoothest actions and seem very well built.
While the others all shoot well, it seems the Savage has the best reputation given it's cost, so would be the value play.
Clearly if you plan to customize with new barrel's, magazines, etc., the remington is the go to choice by a long way with Savage second.
My browning is my go to rifle if I feel I need to shoot farther, as it shoots my 168 berger bullets very well and very consistently, sub moa to ~800 yards on milk jugs.
The Tikka T3 lite is the light weight choice, if you back pack hunt and are looking for that.
My one plug for Winchester is that they typically come in 26" barrels for any mag, but check what's offered today. Most 300WSM's are 22-24" in the off the shelf choices, avoid a 22" for sure.
My choices in order:
Tikka Lite/Sako A7/Sako 85 ~$650/$850/$1200
Savage SS, ~$650 **avoid Long Range Hunter(heavy,short barrel)
Weatherby Vanguard sub MOA ~$700
Remington, then give to gunsmith to add new barrel(26"), trigger, stock(bedded to action), and true action. ~1800
Add a Vortex Viper HS 4-14x w/ BDC Reticle, and Talley Lightweight rings. ~$550