I had a 1924 Trojan and the chambers were just short of 2 1/2". Recoil with Win AA target loads was wicked. I wasn't smart enough then to check the case mouth for feathering, indicating the mouth entered the forcing cone.
As often posted, today's nominally 2 3/4" shells often are shorter, and I would suggest some dumpster diving at your club and measuring some empties. It would certainly seem reasonable to pick a shorter than 2 3/4" hull. Please let us know if you find one.