The 8x57JRS is a good choice, particularly with moose as a possibility.

There is currently plenty of Sellier & Bellot 196 gr ammunition available at about $25 per box of 20. Midway, for example has it in stock. The Cabela's that I visited yesterday had 10 to 20 boxes, or more.

I have not shot the Sellier & Bellot 8x57JRS yet, but will. It chambers well, and looks well made. Online reviews are positive.