The .357 doesn't kick much, and should be plenty safe particularly with .38 SPL. roundnosed bullets. Darned few .357 loads were ever roundnosed.
None of the hollowpoints or flatnosed bullets will be a problem (at least they weren't in my .44 Magnum, which kicked a LOT more than a .357.)
I can't imagine any pointed bullets that would feed thru a levergun anyway, without hanging up during the feeding process.
