barrel stock weight ratio

[ohiohunter]

I was wondering if anyone has noted the weight of their barrel relative to their stock and how well the rifle balanced? I'm conflicted w/ decisions regarding my build and trying to keep it at 10-11lbs with a 24" sendero barrel. I'm not sure if I want to flute it on a game scout stock (2.2lbs) or non fluted on an A3 edge (1.8lbs). Or should I flute and edge a3? I have a feeling the heavier stock will balance better. I'm fully aware that different contours will distribute the weight differently (among other factors) just trying to get general ideas.

I don't want the rifle to be too front heavy. I have an edge htg (1.4lbs) on a light varmint barrel and it likes to tip forward a bit.