I kinda' doubt there will be much trouble with the two you mentioned. I used to own a first year model 12 that is now owned by a friend and has been eating a steady diet of off the shelf ammunition-it hasn't been modified from 2 1/2 inch chamber, and hasn't had the ejection port touched, and it eats regular ammunition like it was designed to. Good steel, from a good era, and a hefty action and barrel built into the design.
I still own a model 17 I bought in 1977 or so, and if it was possible to hurt, I would'a done it by now-I fed that gun everything under the sun, and used it as my only repeater, and guide gun for a long time. Later, it was a loaner and gun safety class gun, and it has had more ammunition through it than I could buy again at this point in my life. A 1933 gun, it has a 2 3/4 inch chamber from the factory.
Of course, firing a gun with an obstruction will get you some interesting things, but, normal ammunition fired at normal targets is just a days work for the above two guns.They are old enough that a headspace measurement wouldn't hurt a thing, but, don't be surprised if that is normal, either. Some of the 1897s out there have a damascus tube, but, not many. I'll bet they have all seen a high pressure load or two, as well, but, I didn't feed it to them.
Best,
Ted
