Allow me to make a suggestion. If you were really deadest on converting it to 357 mag, and trusted the safety of such an endeavor, just buy a cheap 30 dollar lee single stage press and a set of dies. You can reload 357 level loads in 38 brass. There is plenty of load data available for such. You could also look up .38-44 loads. It wouldn't be any less safe than what you were contemplating.
I hope you meant "you can load 38 level loads in 357 brass".