Picking one of these posts, I'm still a little confused. What do you mean by "best brass?" Most of us, building a custom, ideally start by buying 500 or so pieces of brass, and have the chamber reamer and sizing dies made based on that brass' dimensions. The cases last longer, and the rifle will likey be more accurate.
As you're starting with an existing chamber, probably one most of us would consider too large, I'd guess you're after (1) long life, and (2) even case wall thickness, esp. in the neck.
For the .257 Roberts, I would be tempted to try RWS 7mm Mauser cases. You probably have to get them from Canada. I've used them for a 6mm Rem AI.
The cost may be such that you could buy Winchester .257 Roberts P+ cases, measure them, esp. case wall runout, throw away half, and still be about even, without having to neck down a 7mm case to .257 and fireforming.
BTW, for .270 Winchester brass, you can get RWS, or try .280 Lapua & neck down (easy to do) & trim. I'd avoid .30/06 Lapua brass -- or almost any manufacture -- for some reason, .30/06 cases are rarely held to as tight a tolerance as the rest of the product line. Again, purchasing Winchester cases & measuring & culling may be just about as cost-effective.
If you don't load to higher pressures, Norma makes excellent brass. I don't mean low pressure, but for some reason, guys seem to like to push their loads to 60,000+ psi, rather than just start with a larger chambering. Some Norma brass is quite tough, but most assume you'll stay in the 55,000 psi region. And that's not CUP, but PSI. In other words, with high pressure, they don't last too long, even though Norma is generally the most dimentionally consistent brass.
Another thing: I was making cases for a 6.5x55 Ackley Improved Swede, and found the base diameter of Lapua to be fattest, Norma next, and RWS smallest. About .005 between Lapua and RWS -- see why it can be important to start a project with the brass in hand?