"Stick with the basic .44-40 loads"
While that's certainly prudent SAAMI maximum average pressure (MAP) for .44-40 is 11,000 psi. That has to be to make the ammunition safe in antiques. Consider N frame .44 specials. They have only slightly thicker chamber walls. To keep .44 Special cartridges safe in the earliest N frames that did not have heat treated cylinders SAAMI .44 Special MAP is 15,500 psi. Modern N frame .45 Colts which have slightly thinner chamber walls are famously warmed up way above the cartridge's SAAMI 14,000 psi. Writing in Handloader Magazine Brian Pearce gave .45 Colt loads for N frames that he estimated did not exceed the SAAMI .45 ACP +P MAP, 23,000 psi. That seemed prudent enough for me. I used some of them. Obviously in the modern 544 reloaders can warm up the .44-40's SAAMI pressures a bit. The only question is where to find articles in Handloader Magazine or other sources.
About 50 years ago I read that .44-40 rifle only cartridges had been discontinued so long ago that readers were very unlikely to run across any. Authors warned that if we did stumble onto any they were only safe in 92 Winchesters or other relatively strong rifles. They were not intended to be safe in 1873 Winchesters.