I went and checked one of my sources that always has good info on stuff like this, and the only thing that comes close is a Dry Crek 307 grains cast swc over 15.5 grains of H-110 for 1050 fps. That is a 25,000 PSI or slightly under load and well above the pressures you stated you were looking to work at.

That load would be completely safe in a Ruger Blackhawk or S&W 24-3, but not a 2nd model HE. If you are going to stay at normal SAAMI spec pressures of 15,500 PSI or less, I believe that you may run the risk of sticking a bullet in the bore. That is a long bullet, with a relatively long bearing surface, and at that low of pressure they just might not clear the barrel, and they wil certainly be going very slow. Based on all the data I have on hand for the .44 special, I would guess 600 fps or below which just isn't enough to reliably make them exit IMO.