My custom .257Robt is built on a LaCarouna (Spanish M98) action. These are notoroiously the worst M98 ever built. They were built by National Socialist in Spain during the 1938-39 civil war and heat-treating was "spotty". Some are brittle as china, and others soft as butter. I'm lucky in that mine is hard, but not overly....
It has more than enough strength for the Roberts. Just observe good loading practices and avoid loading beyond flattened primers, cratered primers, or sticky extraction and you'll be fine.
You can easily reach 3,100fps with 100gr bullets, and 2,900gr with 117-120gr loads without seeing ANY pressure indicators. My best accuracy however has been with the "classic" loads of 45.0gr of IMR4350 and 100gr bullet, or 48.0gr of IMR4831 (or H4831). These both get right at 3,000fps from a 22" standard Roberts barrel. 45.0gr of IMR4831 will give near 3,000fps with a 115gr Berger VLD hunting and a better whitetail cartridge/bullet dosen't exist, IMO.
Five for Five "bang-flops", and only one was a CNS hit. The rest were heart/lung hits, but exit wounds are the size of "footballs".....Do place your shots well to avoid excessive meat loss.......
I would just use the standard chamber (not AI) as dies will cost much less...
The standard 1/10" twist will stabilize any weight of commercially offered bullets. There were some custom 130gr bullets available some years back, but I never tried any. My experience with the 120's is that they are adequate for game up to elk and caribou. Even moose if that's all you've got.
I really, really like my .25's. My limited experience with 6.5's is leading me to believe there's little if any difference between them and the .25's and .270 with modern bullets.....
With a 115gr Nosler Partiton or 120gr Swift A-frame, the .257Roberts will leave you wanting for nothing more. I use the 117gr and 100gr Hornady's as they are much less expensive and work splendidly on whitetail deer. The Bergers and Sierra's are the most accurate.... (not dissing Speer's, just limited experience...).
My rifle prefers IMR4831, but it took me 29yrs of experimenting/chronographing to come to that conclusion....... H4831, IMR4350, H4350, RL22, and RL17 come very, very close 2nd place. H380 and H414 are splendid also.
The only powder my .25's have "gagged" on is Hybrid 100V. It's not "bad", but my lot# is MUCH faster than data indicates. Hodgdon's data says 48.0gr for ~45,000cup and 3,200fps. My lot number matches out at 44.0gr for 2,950fps, or, not as good as either H380 or H414......YMMV.