We shooters are all effected by recoil to various extents, while some find the sensation exhilarating, others find it only objectionable. Clearly the cartridge we choose should be balanced toward the game we hunt. It isn't prudent or legal to hunt big game with a .22 rimfire, so if we want to pursue that activity, we must choose a cartridge that has more recoil than a .22. The mantra has long been, "Use enough Gun!" though perhaps it properly should have read, "Use JUST enough gun!" That said, I believe the minimalist approach to big game cartridges is deplorable. There is nothing morally superior to hunting a moose or elk with a 6mm when a gently recoiling 6.5 with 50 or 60 grs more bullet weight is available. The current trend is towards light rifles, and if your rifle weighs 5 pounds, it doesn't need to be chambered for a big case .375 to get your attention, a hot loaded .30/06 will rattle your cage enthusiastically. If the country you hunt is steep or otherwise difficult, a light rifle makes sense, but it will kick harder than a heavier rifle chambered for the same cartridge. The big game hunter doesn't need to lie behind his rifle for 100 rounds, so "carry a lot - shoot a little" might well describe his rifle, and while he can limit his exposure to heavy recoil, its prudent that he be able to put 3 rounds on target from a solid, supported field position. You are ready to hunt with your hard kicker when you can shoot it as well, for 3 rounds, as you can one of your small bores.
An adult male who is physically fit enough to play contact sports can normally learn to tolerate recoil from a mid bore rifle, but he has to want to. The first consideration is the rifle. It must weigh enough for cartridge it's chambered for. It should balance slightly towards the muzzle so that it handles quickly and points well. It must fit the shooter, and the butt must be fitted with a good quality recoil pad. The rifle's scope, if so equipped, must have sufficient eye relief so there is little chance of being struck by the ocular, regardless of the shooting position, and when hunting we can find ourselves shooting from some interesting positions, that aren't usually observed on the rifle range. Low power scopes usually have a more generous eye relief than high powered scopes. The rifle's recoil velocity is much slower than the bullet's muzzle velocity, but you still won't be able to outrun the ocular that races towards your face, so mount it well forward, it probably should not extend behind a bolt action's cocking piece, or at worse, behind the rear bow of the trigger guard. If the rifle is particularly obnoxious to shoot, it might be advisable to begin shooting it with reduced loads, normally a handloading proposition. Once you've established a comfort level with the reduced load, gradually, and over time, incrementally increase the charge as your comfort level allows. Finally the shooter must protect himself from the sound of the muzzle blast, by whatever means he finds effective.
Next in importance comes shooting technique. Since off-hand provides the shooter with the best recoil control, and the least amount of felt recoil, it makes little sense to begin shooting a hard kicker from slung up prone, if you have trepidation about what might happen when you press that trigger. Begin shooting off-hand, and chances are that if the butt properly located in the shoulder pocket, the elbow lowered to close and protect the pocket, with your weight shifted over the toe of your forward foot, when the rifle bucks you'll wonder what all the fuss was about. From this point forward, you can work towards increasing your tolerance to recoil, by shooting from lower supported positions, thus increasing the felt recoil. Your exposure to heavy recoil should be frequent, but limited to short shot strings, with plenty of time between each string. The rifle should never be allowed to hurt you, but if it does, stop shooting immediately. If you try to tough your way through it, sure as hell, a flinch will be the result. Not only might you may never learn to shoot that rifle well, it might adversely affect your shooting with any rifle. If the rifle hurts you, something is wrong and has to change, so you have to isolate what the problem is, and fix it before you can progress. I noticed that the middle knuckle of my shooting hand would be painfully wrapped by the trigger guard of my .375 Ultra; the stock I chose had a pistol grip that crowded the trigger guard. I was faced with the cost and inconvenience of finding a replacement to my otherwise excellent, high quality, expensive stock, with one having a more open grip design. Otherwise I had to find a way to mitigate the problem, and fortunately the solution was an inexpensive piece of nylon that was easily fitted to the rear of the trigger guard, which deflected my knuckle during the recoil impulse.
I think a medium bore built on the .30/06 case is a fine choice for big game larger than deer. The recoil will be strong compared to a small bore, but it will be manageable in an appropriate rifle that can still be conveniently carried. Keep in mind the notion that these things are designed to be used by normal people, and that they are not beyond your ability. Good luck with your project.