Winchester 73 lever action repeating carbine
If for nothing else, I think having a Winchester '73 would provide historical satisfaction. Known as the "Rifle that Won the West," the '73 is the precursor to the '92 and '94.
It's sort of odd the US Army regarded repeat-action lever rifles as underpowered, so they armed troops in the Indian Wars with breechloaders. The Winchester 73 had an effective range of 450 yards! See, Guns at The Little Bighorn. General Custer and his men didn't use "The Rifle That Won The West" at the Battle of Little Bighorn. Instead, they used Model 1873 Springfield Trapdoor Carbines firing .45-55 rounds. Sitting Bull's warriors were armed with over 100 Henry repeating lever action rifles or Winchester Model 1866 rifles. Henrys were capable of firing 45 shots per minute, which enabled Indian Warriors to discharge enough rounds at Custer's troops from one hill that it was later named "Henry Hill" from the volume of casings found after the battle. Custer's trapdoor carbines were capable of only 16 shots per minute. He had less rifles, which took almost three times as long to fire as repeaters used against him and his men. It took the government until 1893 to adopt a repeating rifle, the .30-40 Krag. The Krag was the Army's first smokeless powder rifle. It was a slightly modified version of the Danish 1892 Krag-Jorgensen infantry rifle. See, The .30-40 Krag.
Krag-Jorgensen Model 1892, 5 round magazine bolt action rifle
Some say the Krag worked perfectly, right up until it was actually used in combat during the Spanish-American War, where it was found that the .30-40 cartridge (US .30) was hopelessly outclassed by the 7x57mm Mauser cartridge used by Spanish elite soldiers in Cuba. See, Krag-Jorgensen Mod 1892. Others compare the .30-40 to the venerable British .303. See, The Reload Bench.
I question the choice of a slower magazine rifle over the Winchester 73's successors, such as the Winchesters 92 and 94. Rate of fire had proven itself important during the Indian Wars, but the lever action rifle was still ignored. Maybe, conventional tactics of the day were better satisfied by Mausers and Krags?