I have built two 250-3000 Ackley Imps.
The first was on a Rem 600, more than thirty years ago for my wife's sheep rifle. An experiment, it weighed just a tad less than six pounds with 22 inch barrel and the little 4X scope that Redfield made for 22 rifles. Remember this was the late seventies, and nobody had a rifle within a pound of that. She shot her first Dall ram with the rifle.
The next was on a SAKO, about ten years later, and weighed a pound more with a similar barrel and a Leupold 2-7X.
I'm sure either action would be fine for the standard 250, and the weight should be near the same.
Ted