Brian, I also have a 257W on a Rem 700 action, but with a Krieger 26 inch 7 twist (3 contour) barrel.
I have only tested the 156 grain wildcat so far, and although it gave good accuracy, the Norma 257 brass is soft and restricts me to about 2,900 fps. This is only 70 fps more than my 25/06AI achieved with the same bullet in a 24 inch barrel.(19 grains less capacity)
Kirby and I both thought that I should be able to get 3,000 fps with the 257W case, but it won't happen with Norma brass.
Several weeks ago, I bought some 300 Winchester magnum (Remington brass)and necked them down to 257W, neck turned the cases and then annealed. The cases had a capacity of 85.2 grains compared to 87.8 for Norma new 257W brass.
Today with 300 WM brass, and using AR2218 (H50BMG in US), I worked up from 67 to 70 grains with the 156 grain bullet, and the results from a velocity view point were more encouraging. Although the necks on some cases didn't expand correctly, I achieve 2,984 fps with the 70 grain load, and probably could have gone a 1 grain higher as there were no extractor marks, primers were starting to flatten, but bolt lift was still easy.
I will re-anneal the case necks that didn't expand correctly, and retest using the 156 grain bullet at 300 yards and see what pattern emerges.
I only have about 40 left of the 142 grain ULD's at the moment, but will also test those in the coming weeks.
The 25/300WM and 257STW should produce velocities with the 156 grain ULD that are somewhere between 2,980 of the 257W and the 3,350 fps of Kirby's 257AM. Hope the above is of some help. Regards, Brian.