Really depends on the rifle. Falling block and bolt action rifles can handle 65,000 psi cartridges all the time. Single shot break actions are good to at least 60,000 psi. If it's a lever action the type matters. An 1894 action I know is good up to 36,000 psi (.44 mag) but there is a good reason none are chambered in .460 S&W or .500 S&W as they are both in the 50,000 psi territory.
With shrinking case volume the pressure curve can be pretty brutal so I would definitely work up from a known safe load.
I've always followed the philosophy of if you want a more powerful cartridge, buy a gun that fires a more powerful cartridge. Don't try to hot rod a weaker cartridge. In this case if you have a .357 rifle why don't you just use .357 ammo? Or is it that you have a big pile of .38 short colt brass lying around? Personally I'd just use .357 mag brass for everything to avoid dirt rings in the chamber and reduce bullet jump which improves accuracy. In my .44 mag lever it doesn't matter if I'm loading .44 mag, .44 special, or .44 Russian data; I always use .44 mag brass.