For what you want to use it for, the 2.5X is just great.
The beauty of this short little scope is that it never will destroy the handling and balance quality of your rifle and like you surmised it cuts out a lot of the distracting weebles and wobbles. In terrain of limited visibility field of view is the most important feature on a scope with coarse crosshairs for swift pick up of a frequently fast walking/trotting or running target. Your 2.5X exells here.

The scope is small enough not to take the brunt of bumps.
It can be mounted low on the rifle.
The enlargement is enough for deer out to 300 yards.
Your rifle will certainly do for what you want it for and then some. Although personally I see the single shot in your configuration more as an ideal open country long range proposition with a bigger scope, but that you can use as a future option if you would get the urge to do so.

For the alround kick-about all purpose forest/mountain moose/ deer/sheep rifle I would now see myself with my .308 Manlicher Sako or a short light 30-06.
Coupled with the 2.5x scope, now that would be a well balanced rig.

However I hunted for 5 years in the boreal forest in Alberta between 1976-82 with a Ruger#1 like yours in 300 Win Mag. and a 2-7 scope and another#1 in 45/70 with a leupold 3X. Most of the time my scope was on 2X with the variable and I did fine on moose, black bear elk and deer and so will you too.
Just make sure to have that extra shell handy between your left fingers when you shoot for a quick reload.

I have a 3x Leupold which has been on a 45/70, 35 Whelen, .308 Win,.358 Savage and a .338 where it still is. I never found it wanting for reliability and enlargement.

You will do fine with your good handling rig.
Enjoy