So, about $650'ish is your price point?
I'm not real familiar with the Weatherby, but I had a Tikka T3 in .308. Purely anechdotal, but with handloads or Lapua 167 gr. match, it would shoot .625" 5 shot groups all day long.
I've had plenty of Remingtons, but not that particular model... are you talking about the basic gun, and do you know who makes the stock for that? I'd be kinda concerned there.
Saying that, the New Ruger American is getting rave reviews for a $350-400 real world price. And with 1stmar... yeah, Savage should be on your list.
Not very objective to be honest, but I really liked that Tikka... but then I really like Sakos too.
Cheers,
C