Mike Islander
WKR
I own a 1963 Remington 700 BDL in 30/06. It was the first year they produced the model. While yours is not as old or vintage, so to speak, it is as FINE a production rifle ever made. Period. You'd have to have a lose screw to foul up a heirloom from your dad on top of that.
Buy another action, fit it to a barrel of your choosing, and build a rifle if you must. But, don't screw that 700 up.
FWIW, I have half a dozen friends who have bought a Ruger American, topped it with top dollar glass, and instantaneously had a 1000 yard gun. With factory loads. Just something to consider.
1962, like me, was the first year for the BDL 30-06. We're the same age.
I have a 1972 BDL and 1999 BDL DM (detachable magazine). Both shoot sub moa. They are fine rifles from the factory without mods. If it were me, I wouldn't modify your dad's rifle. I would hunt with it without worrying about adding character marks. Every time you hold it, it's like shaking your dad's hand. Use it and pass it on, with love, to your kids.