Absent really wet weather, I've rarely cleaned a rifle during the two-month Texas deer hunting season. Never had any rust problems. Basically a dry bore after checking my sight-in ahead of the season.
Art, I had to laugh, Texas is hot and dry and you can get away with that!
None of the gun shops in South East Alaska (panhandle) sell anything other than stainless with synthetic stocks anymore). I lived there when I was a kid and we did fine but they were all short hunts.
On the other hand I never hunted with a clean gun, do the confirmation shots for correct POI and left them as were (I would have oiled the bore if I was going to hunt wet weather for any time but never had to do that