Mitch,What are you wanting to do with it? Hunt-Target shoot,or both.
It's hard to suggest something without a little more info.You can get a 300WM in a lite weight sporter hunting rifle or go all the way up to a 30+lb bench rifle.
I shoot a Savage 110FLP,but I set it up for Long range target work,and it weighs around 17lbs the way it's set up.Not exactly what you want to carry around all day.I had a Ruger #1 that I hunted with for years,and it was around 9lbs.
I bought a magnum contour barrel for my Savage,and it will serve as a hunting barrel with the action,but will be put in a different stock for that purpose.
Savage-Remington-Tikka-Browning-CZ-Howa-Winchester,and several other mfg's offer rifles chambered in 300WM.Just find the one that fits you and your budget along with a decent scope,and you should be happy with it.Most modern made rifles are very good shooters,so just pick one that you like.