If you are shooting from a bench or prone, I wouldn't worry about scope weight.
You'll have to decide the budget that you want to spend on a scope since.
Tangent Theta is generally regarded as being one of the best scopes optically, but is very expensive
Zero Compromise Optics, is generally regarded as having almost as good optics, but better reticles and turrents.
Going down from there, your best value is often to be found in the used market.
A Schmidt & Bender 5-25x56, used in good condition usually goes for around the $2500 give or take a bit range. In that price point, you'd be hard pressed to find anything new that competes with the optical quality.
Now if you are not going to do any matches and are shooting from static positions at known distances, with less than perfect eyesight, some of the new Schmidt & Bender, Second Focal plane scopes are amazingly bright and clear, and you may find you prefer the constant reticle size since you don't need to range with it and can use the windage and elevation knobs instead of using the reticle for that.
@koshkin does a great job reviewing all kinds of optics, both on the site here as well as his youtube:
Most of what you will see here are some random (and not so random) thoughts on sporting optics of all sorts. I will also intersperse these with other gun rel...
www.youtube.com
I'm also going to suggest that you look into target specific ammunition which usually is in the 69gr and up range, especially with a bolt gun you can drive the long heavies, and that's where a long fast twist barrel helps. You will probably upgrade the barrel once you get really into it.
Lots of folks offer prefit barrel for the Tikka, so that should be easy when the time comes.