Remington 750.
Fit/finish is decent. No, not a Browning, but they run 30% less than the Browning (under 900 bucks for the wood stocked and under 700 for the synthetic - starting price for the Brownings is about 1300 bucks and it goes up from there with the level of finish).
I have a 54 year old model 740 Woodmaster 30.06 (1955-1960), which became the 742 (1960-1980), then the 7400 (1981-2004) and now the 750 (Woodmaster (wood) and Synthetic).
Putting my 1957 built model beside a brand new one that I have in the showcase at work, not much has changed from a visual point of view - in fact, I like the "new wood" better than my old original - a little fancier checkering - otherwise "feels" the same (just can't speak to the quality, but we sell a good few and have never "personally" had a customer come back with a complaint).
Even a magazine off the 750 will fit my 740 (detachable - 4 rounds with one more down the spout).
It does have sights (included) and it's drilled/tapped for a scope mount and is available in 308.
So no, not a Browning, but you can be out the door with a wood stocked model for under 1K (about 800 for a synth) and unless they really tanked the quality mine has taken about two dozen moose and about 30 deer in it's lifetime
Not a "tack driver", but certainly 1.5" @ 100 yard accuracy - and besides, I don't hunt "tacks"
P.S. - if you do opt for something used DO stay away from the 740 (my model) - it has a flaw that can leave it un-serviceable - some of the 742's experienced the same issue (receiver rails deform/wear out and then you end up with deformation of the receiver itself - can be machined maybe once and then it's toast with no "off the shelf" replacement - When the issue first starts to show up the magazine feeds un-reliably. Once this started to occur on mine, I decided to retire it) - can't complain though - it cost $134 brand new in 57, I guess it doesn't owe me anything...