The case for .357 Sig is the same diameter as .40 and 10mm. A carbide die doesn't require lube and a carbide die in .357 Sig is super expensive.
I resize/de-cap with the .40 die and hand prime the cases (I do not like the Lee safety prime). I then go progressive and size with the .357 Sig die, sans decapping pin. Because the body was already sized with the .40 die, I am only sizing the neck and don't have to "muscle" the press. It makes consistent seating depth and crimping much more repeatable.
Got it! For me, with 5 stations in the lnl-ap, I could do the same, including priming, in one pass. The only pistol rounds I prime by hand are .45 acp, to avoid small primer/large primer issues.
I might have to give that a try...