porkchop401,
I just finished several .300 Win. Mags in lightweight configurations. The stocks used were either the Manners MCS-EH1, EH3 or one of the McMillan Edge variants. The reamer I used for these was required to handle the longer 190/210 grain bullets. However, you can just as easily use the shorter/lighter bullets as long as you pay close attention to the concentricity of your loads.
The barrels I used were all Bartlein #3 in the 5R rifling. The length ran from 24" to 26" with a couple being 25". I didn't flute any of these since the weight was right in your area and wasn't necessary. A couple called for DBM bottom metal but in alloy there isn't any real weigh problem.
They were finished up with alloy rails and rings suited to the clients choice of scopes.
With Remington actions or similar design without extra doo-dads you will be right on your weight. Defiance Machine makes a 'Sheep Action' which is light like the 700 but for a real surprise, order a Titanium action and have fun!
Regards.