I believe Remington Keenes were issued to some Indian police agencies.
US experimented with several bolt action rifles to include Keenes and Winchester Hotchkiss. Am pretty sure at least Hotchkiss rifles underwent cavalry testing in the western theater. Canfiield's book "US Military Bolt Action Rifles" has quite a bit on these. McCauley's book "Carbines of the US Cavalry" indicates only the Winchester Hotchkiss (both types) carbines saw experimental US Cavalry service in the West. Some Remington Lee 1882 rifles were tested by infantry units in Wyoming.and Chaffee Reese bolt rifles were also tested in the West by infantry units. The 1871 Ward Burton was tested by units but am not sure where.
The US Navy seemed more favorably inclined towards repeating bolt action rifles than the Army was: this was true with other Navies as well (Italy France, etc.) Canfield shows a photo of US Navy personnel with 1879 Remington Lees in Hawaii before its annexation. THAT'S pretty far West for the US! There were several Army boards that looked at magazine rifles in the trapdoor era, but the Army remained wedded to the trapdoor. (It was a time of low budgets, so arms changes would have been at cost of other improvements.) US was fairly glad to replace the Trapdoor at the end but apparently didn't want a large bore black powder repeater, but wanted a smaller bore smokeless number.
Beside the Canfield and McCauley books referenced, see also" Canfield, "The Winchester in the Service" .
Krags were being issued sometime in 1894, but Wounded Knee in the 1890 time frame is considered by many historians as the end of the major Indian Wars of the Western era, but incidents continued. And, if 1920 is your cutoff, obviously 1903s were there as well.
In total, the US probably procured more experimental bolt rifles than they did lever actions after the end of the Civil War era, though US purchased 10,000 95 Winchesters in .30-40 for use in Spanish American War. If I remember correctly, some were tried in the Phillipines and the bolt rifles were preferred. Some US officers carried privately purchased Model 1889 lever rifles which were the first lever capable of handling the .45-70 cartridge. (The Royal Canadian Mounted Police were equipped with 1876 Winchesters for some years, but they were obviously not US.). Only the Army and Navy used the Winchester Lee straight pull rifle in the Spanish American War/Peiking Siege era, but there were probably some kicking around in Hawaii.
I think Michigan reserve units used some Remiington Lee rifles at the turn of the century, but they wouldn't have seen service in the Far West.
