I think the Minox 5-25 is about 10-12 oz heavier than a Leupy 3-18. Personally, I have never had to use my illumination in a hunting setting. Both morning and evening I have been able to see my reticle just fine in legal shooting hours, even with my shittier scopes.
The OP said his main use would be hunting to 600 yards, I always think big game when I think hunting. I guess a 5-25 would be okay for shooting varmints and stuff way out there, I just never saw a need for such a high mag scope for hunting. Even during matches I rarely find myself much above 18x, unless I am shooting past 1k or I am milling a target. I would also think something along the lines of a 3-18 would "scale" better on the Bergara. I have my Minox on a MPA chassis with a 24" barrel and a 7" suppressor and the thing still looks huge. I don't think you will disappointed in the Minox, it just isn't the first scope I think of when recommending a scope geared more towards hunting.