The Talley Scope Rings I'd recommend for your setup is 1" low/medium height rings to allow for the best head position when using your optic. You can find the Talley rings I recommend using the link below:
https://www.opticsplanet.com/talley-scope-mount.html?_iv_gun-make=savage&_iv_gun-model=savage-model-110&_iv_tube-diameter=1-in&_iv_ring-height=medium
The Talley Lightweight Alloy Scope Mounts for your rifle are the 84M models. I would recommend a low height ring due to your objective lens size. Typically 40-42mm objective lens require low height rings.
MPN: 748749 or S748749 should work for your Kimber 84M with a 3-9x40 scope with a 30mm diameter tube.
You need Extra High or High height ring set
You need high height for rings
You need the high height for rings.
Would recommend High ring height.
Talley does not make 34mm rings for that rifle, you would need a picatinny rail and rings for that.
Yes, low mounts should work, you just have to be careful that there's enough room for the bolt handle past the eyepiece.
Yes, you should be able to use a Medium Height ring for that set-up.