I have to agree with Daryl S. If you reload, a simple rechamber job to 35 Whelen AI ( Ackley Improved) will approximate 9.3x62 performance and allow you to shoot factory .35 Whelen ammo.
If you want more punch then I would recommend rebarelling to .375 Ruger which can be loaded to 9.3x62 levels or slightly better than.375H&H. This would be equivalent in cost to reboring with a much better chance of an accurate barrel and would require standard opening of bolt face and extractor and a little rail trimming to make an excellent big game rifle.
If you must have a 9.3x62,which is my favorite cartridge, Rebarreling is a better option at similar cost. If you check out smiths who rebore you will see that they will not guarantee that the bore will not be damaged or shoot accurately. Also the .35 Whelen is longer than the 9.3x62 so there would be a step in front of the neck about 1mm long. Barrel could be set back but this would require glass bedding.