I am used to shooting light triggers on air pistols, free pistols, air rifles, free rifles, and set triggers, but on a hunting rifle, I don't want lighter than 3 lbs.

The right trigger weight depends on a lot of things:
singe or two stage,
length of takeup,
width of the trigger affecting your felt pressure,
bare hands or wearing gloves

On a mountain rifle especially, you are likely to be hunting in the cold, where you cannot feel the trigger as well. Also, you run a good chance of stumbling, falling, and dropping your rifle, and you don't want it going off accidentally. Whatever you set it at, bounce it on floor a bit and bump it side to side with a snap cap in the chamber to be sure it doesn't go off. If you ever start to squeeze the trigger and stop, put the safety on and cycle the bolt to reset the trigger.