Seems like if you want to make a habit of this, you need something that has some horsepower, magazine length to accommodate slippery bullets, and weighs 8 lbs +/-. Build a 280AI or 7mag (depending on boltface)on a long action 700, with modest barrel length and contour of 0.625" +/-, and a 25 - 30 oz stock. Or skip the build and buy a SS ADL 30-06 or 7mag and go from there. I'm at just over 8lbs with a 24" SS factory 7mag, DDs and a leupold 6x in a 30 oz McMillan stock. '06 and 7mag throating will both let you kiss lands with slippery stuff and stay within mag confines.

A SWFA 6x will put you a half pound heavier than a leupold 6x, plus whatever difference in mounts. The SWFA 1x4 gets you closer, but is still a few oz heavier. Those obsessed with aiming at thumbtacks on a windless range will always have a problem with the concept of 4x on a western rifle, but those who've lined up on basketball or beachball size targets at those ranges realize that getting a good sight picture way out there really isn't that tough. Some would rather count hairs through their scope vs shoot the animal.

I'd be looking at a M1 on a leupold 4x or 6x to see if you can get repeatability, and if not, go to SWFA and suffer under the weight.