I'd keep the beater and just buy a new rifle. If you let the old rifle go, then no matter how good the new one shot, it'd never compare to the one that got away.
I don't know which direction you were going with the new rifle but a 7-08 in a CDL or Mountain Rifle would be hard to beat. And, of course, everybody needs at least one '06.
To answer your question, after the usual tinkering (adj trigger, bed, etc) I believe my new Rems shoot as well as the older ones. And I've got them that go back 40 years.