Good choice on chamberings. The last time I checked, 7mm WSM
held the British 1000 yard record and the 300 WSM
held the USA record.
I'd go with the Savage for several reasons. I have 3 Sakos and they are very nice rifles but I also have 3 Savages and they have some added features that are worth considering.
The Savages have center feed blind, hinged or box magazines that all use interchangeable parts and they all work great.
Comes with a muzzle brake
which you will want in the 300 WSM which can bite you otherwise.
Has a 26 inch barrel - useful if you will be loading your own ammo.
The barrels are held on with a barrel nut which means that it is easy to change barrels in about 10 minutes if you have a barrel nut wrench, go and no-go gauges and a barrel vice which together cost about $150.
The bolt heads float and are thus self aligning to the bore AND it takes about 5 minutes to swap from standard to magnum bolt face if need be to accommodate another barrel/chambering.
Accutrigger works very well and is easy to adjust.
More shooters on this sight than for any other rifle brand say Savage is the most accurate right out of the box. (You don't need to mess with it.)