Firstly you need to make a chamber cast as despite the drawings saying otherwise more often than not just reaming will not clean up the original chamber so you would have to cut back the barrel shank and then re-chamber. This of course means that the stock inletting will not be correct and look quite unsightly.
Now what I don't understand is why not just buy a new rifle chambered for the 9.3x62mm if that's what you wanted
. I would suggest that you just handload the 9.3x57mm that you have and I really do think that you'll be pleasently surprised with it
.
Of course it's your rifle and your decision in the end but there are folks out there who would gladly buy your rifle just to shoot as a 9.3x57mm
as it's a very nice cartridge to shoot. I have a Model 46 Husqvarna on the 96 action and it's a mild round to shoot and has surprisingly little drop or so I think but I was lucky enough to acquire a batch of Norma 235 grain semi spitzer bullets