BTW, not a big deal, but your 1897 was chambered in 2 9/16ths. VERY few 1897 owners concern themselves with this because:
a) what can you do? 2 1/2" shells are not easy to find
b) 1897's are solidly built and can take the added pressures
c) the model 1897 has 5 adjustment sleeves available for after the original that came with the gun wears out, so a little looseness in the action is easy to resolve - no gunsmith required.
However, using 2 3/4" shells DOES put the gun under higher pressures than it was intended. The crimp in the shell opens partially into the forcing cone, rather than completely in the chamber. This, in turn, tends to obstruct and deform the shot cup, potentially causing uneven patterns.
For sure most owners use any and every 2 3/4" shells. I know from personal experience that they don't seriously harm the gun. But, if you want the least recoil with the best patterns, 2 1/2" shells are the way to go. Besides, Gamebore shells from the UK (available locally from your Kent Cartridge dealer) are not only 2 1/2" and lower pressure to begin with, they employ felt wads and no shot cups - which allows the choke in the gun to do the job it was designed to do. I find them far superior in the field to the alternatives, but I've never tried shooting trap with them (sounds like something I should try).