Regarding the .22-15-60 Stevens C.F. cartridge, Stevens noted the following...
"Reduced Loads
By reference to the cuts of bullets for this cartridge, it will be seen that it can be loaded , .22-3-32, .22-5-40, .22-7-46, .22-10-46, .22-13-46. Use a soft lead bullet, seated in usual manner in mouth of shell with a thin wad over powder. Grain of powder will vary with the rifle, but the smaller loads will require a FFFFg or FFFg, while the two larger will probably do best work with the FFg size."
Stevens provided various similar notes for other cartridges that were chambered in their rifles.
So it looks like for reduced black powder loads, Stevens kept the bullet seated in the normal position at the case mouth, with the reduced powder charge held back against the flash hole, perhaps by a thin wax paper wad, with air space to the base of the bullet.
It also looks like Stevens played around with the faster burning finer granulations of black powder for some of their reduced black powder loads... sorta along the lines some do these days when using smaller/reduced powder charges of the faster burning smokeless shotgun/handgun powders for cast bullet CBA style shooting.
Stevens also noted "Remember that no two rifles perform exactly alike. A change of temper of bullet or a few grains of powder, more or less, may sometimes be necessary to obtain the best results."
So you got to get up off your lazy butt, and experiment.
There was an article a long time back in either Rifle or Handloader magazine regarding loading the 40-90 Sharps Straight... seem to recall that the author could not achieve accuracy with his various loadings... until he eliminated the powder compression he had previously been applying to the black powder charges he had worked with in that nice long cartridge case.