It's really quite impossible to properly compare recoil in the manner in which you are asking even tho folks offer readily to do so. It's easy to plug numbers into a software program and compute the recoil energy which is a tool to compare but what is impossible is to properly compare the real world "felt recoil" and that is really the ONLY thing that matters.
The stock design and what kinda pad or lack of it you have makes more difference really than those computer generated recoil numbers do. From a numbers stand point you'd likely have no more recoil than the .300 mag you said seemed OK and perhaps even a bit less. The CZ is a fairly heavy rifle which also helps but you'll likely want a good recoil pad added and with that if you thought the .30-06 with 220s wasn't bad then neither should the 9,3.62 be. It is after all just the '06 case opened up to take .366" bullets. Normal weights are 250 and 286 grains and velocity will run close to what the '06 does with 220s.
Sorry to have to correct you Bill but the 30-06 is more accurately described as a necked down 9.3x62 as the 9.3x62 predates the 30-06 having been introduced in 1905. In fact the 30 Springfield is actually a copy with a lengthened case of the 7mm Mauser. The longer case came about due to the poor smokless powders being used by the US as they were some way behind in their development when compared to Germany and France. Of course smokless powder was invented in France and rapidly adopted and further developed by Germany.
Further more the 30-06 was a development of the 30-03 and was brought about by the new 7.92mm JS German cartridge introduced also in 1905 that was hte first one to use the new Spitzer bullet and an until then unheard of velocity of around 2900fps. The US smokeless powders had improved in the intevening 3 years and so the new case was shortened but it was still around 200fps behind he 7.92mm and had 4 grains less bullet weight.
The idea behind the 9.3x62 was for use in East Africa by farmers who needed a potent rifle cartridge combination not for sport hunting but for meat hunting and protection. If it had not been for The Great War (WW1) and the fact that Germany lost it the 9.3x62 would ahve been far more common but after the war metric ammunition and componants were virtually unobtainable so the huge market share which belonged to the German products was taken over by the American and British arms industries.
As for recoil as Greybeard pointed out the stock design has a huge effect on perceived recoil and to me the recoil of the 9.3x62 is much, much, less than the .375 H&H and onyl slightly more than 30-06. I have a 9.3x57 chambered rifle and the recoil of that light Husqvarna even with 286 grain bullets is mild. So mild infact that it surprises people when they try shooting it.
Good luck with you choice.