Bit of clarification and to answer the original question.
No re chamber needed as 357 mag chambers just fine,
the problem is 357 rim will not fit the magazine, I suppose
it is possible to widen the magazine but then the action needs
modification to except the altered magazine, by now you have
enouf money tide up messing up a perfectly good rifle to
purchase custom dies, custom brass and a box of proper
bullets from a custom bullet maker.
If you are worried about high pressure with 357 mag. try it
with 38 Special.
Word of caution when reloading modified 357 mag. cases
with oversized bullets, cases are shorter then 351 brass,
start your powder charges low and stop when action cycles
reliably, this might also help in recovery of your spent brass
cause these things throw brass in to the next county.
Hey You where are you located, I might be persuaded to
convert few pieces of brass for a price of a refreshing adult beverage.