The Browning Medallion has a nicer finish and I own both a Browning in 243 WSSM and a Savage 300WSM. In my experience the Browning Medalion with factory ammo is very accurate.
The Savage is acceptabley accurate but one day the bolt came apart in two pieces. Fortunately, I was able to put it backtogether myself, but have been uncomfortable about this little problem becoming a bigger problem during a crucial moment. Also, The reason I originally bought the Savage was because it was the only one in stock at the time that was in stock, in the caliber of choice. And yes it was cheaper, but I don't think I'll buy another one.
And a brief comment about accuracy. It seems like when an gun company advertises: "The most accurate rifle out of the box". To me is just a catchy advertisement hook. It works, and everybody repeats the catchy little phrase and believe it as if it were carved in stone. Their guns do the job, as most do, and the price is hard to walk away from. But if one has a little more cash, get the best gun one can afford. As good a scope as one can afford, a boreshighter, a good cleaning kit, and a load that the rifle shoots well. There is some good factory stuff out there, so one may not need to re-load to find decent accuracy.
With the purchase of factory Left hand rifles in mind, I'd give the nod first to the Browning, Second to Tikka, and third to Savage.
Browning came out with a nice Right handed Rocky Mountain Elk Foundation Special Edition in 325 WSM. The feature I like on it is the raised cheek rest. This alone IMHO helps to keep the shooters head nicely lined up with the scope. If you contact Browning they may make one in Left hand for you. It's worth a try. ANd if they do, let me Know because I'd like to get one too.
The 325 WSM has it's place for Elk, Moose, and Buffalo. Smaller animals like mule and whitetail deer can be taken with other calibers.