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Truly, by name, a Stalking Safety should keep the rifle safely at FULL cock so not to make any noise when bringing the rifle ready while stalking game.
Admittedly, the hammer safeties which I have been calling Stalking Safeties for years tend to hold the hammers at half cock which lend little to being silently actuated in a quiet hunting situation.
Better noise control than a full motion of the hammer, but not really that silent.

There is nothing complicated about bringing an external hammer lock noiselessly to full cock. Simply bring the hammer back from the half cock or rebound position while pulling the trigger at the same time, and then, with the hammer in full cock position, release the trigger and allow it to noiselessly engage the full cock bent.