I have a 300 Win Mag in a Winchester Model 70. There is some obvious recoil there but it isn't at all unmanagable in my opinion.
I truly love that rifle. Overkill? Maybe. Effective on whitetail? Absolutely! I've killed a few with it in Eastern Kentucky and I've yet to track one! I've shot all of the rifles you mentioned and my 300 will thumb me harder but ifit becomesan issue for you, I'd suggest grab a lead sled or something for your range shooting and when your in the field zeroed on that big Texas buck you'll never notice!!!