I second JT: Look at the Weatherby Vanguard S2. It has great build quality, a sub MOA guarantee, three position safety and great two stage trigger. I got mine for $429 at Cabelas with a bit of haggling.
The only downside is the weight compared to other hunting rifles. Also, if you do not like two state triggers, this may not be the rifle for you.
On a final note, avoid new Remingtons as the factory quality has dropped. If you like Big Green, look for a used 700 or Model Seven from before The Freedom Group / Cerberus bought them. I had a 1997 ADL in 30-06 that never failed to function, felt great in my hands and would shoot a hair over an inch at 100 yds. I wish I had not traded it in toward a new Model Seven.