Stalking rifle to me, means an intermediate calibre - up to about .30/06 - or even an 8x57 or .303.
It would be a fairly light, 8 to 8 1/2 pounds with scope, but long barreled, mildly scoped with a 2X to 4X - or open sighted.

A Ruger #1S with 26" tube in 7x57 would suit me just fine with express sights or (nowadays, a 4x Leuy).