that's a great rifle. I love the 7x57 and the 30-06 for all round rifles, from light and fast bullets to big and heavy, both will do the job, they're easy to load for, plenty bullet and ammo choice, and widely available, good barrel life, great ballistics, great SD, great great great..
the rifle is a commercial oberndorf sporter built on a later action, it's visible on the bluing, logo and on the bolt handle design. the bolt shroud is an aftermarket 3 position side safety which is good. Stock 'looks' to be a new stock fitted as the original had a short stock that was rounded and with white spacers and a hogsback comb, which is probably why it was changed.
If that was my rifle, I'd have a new recknagel rear sight fitted with a wide V gold inlay fwd slanting rear sight and make sure the front sight bead was platinum with a rounded body, undercut, flat top and flat faced forward slanting.
It's the sort of rifle I'd probably just use for 99% of my hunting, and end up leaving all the other guns in the cabinet.
These days I've basically retired all my guns for just my BRNO VZ24 based 30-06,,I just struggle to see any reason not to pick that one out first
well done on choosing to keep the 416 in original condition,,if you had changed it you'd have a lightbulb moment in a few years and cry yourself to sleep having finally realised what you did by fitting a scope! LOL
.22LR, 30-06, and a 470NE and your life is nice and simple, in a very good way ;-)
Best of luck in your endeavours, but if you ever need a voice of reason, PM me