" Steve's pages shows 35-37gr for 350gr bullets and 34-36gr for 405gr bullets and none for 500gr bullets."
Those loads are for H-4227, not IMR-4227. In addition, I would use the lower loads in the Handi. It ain't the strongest action around...
Correction made to the 405gr data, thx.
It's not the weakest, either. H&R says Marlin loads are fine, myself and many others shoot top Marlin loads in their .45-70 Handi/BCs with no problems other than brutal recoil.
The '99 and later frames** are considerably stronger than older frames, H&R won't fit any high pressure rounds such as the .270W or .308W to frames older than '99, but the Handi is factory available in .500S&W which operates at pressures close to that of the Ruger load level of the .45-70, depending on the source of data, see Hodgdon's Annual manual for a pressure comparison.
Tim
** See the NEF/H&R Centerfire FAQ for build year info.