So the best source of loads I know is Graeme Wright's "Shooting the British Double Rifle" 3rd edition.
For .577 3" Black Powder Express, here is what they have:
Original Ballistics:
167gr BP - 570gr bullet - 1725 fps
167gr BP - 610gr bullet - 1650 fps
167gr BP - 560gr bullet - 1740 fps
Average regulating load:
650gr jacketed bullet - Swiss 3Fg (No. 2) 170gr, Fed 215 primer, Bertram Cases, 1545fps
570gr cast lead - DUPLEX LOAD of 18gr SR4759 Plus and 130gr GOEX 2Fg - WLR primer - Bertram Case - 1590fps
The loads require wads or buffer, plus lube.
For .577 3" Nitro-For-Black Powder, here is what they have:
Original ballistics:
Cordite 65gr - 560gr bullet - 1700fps - 6.0tpsi
Cordite 75gr - 560gr bullet - 2000fps - 8.0tpsi
*That means 8.0 tons per square inch is maximum pressure you should target with a Nitro proofed .577 black powder that has been reproofed for nitro loads if you want to be prudent. A long ton conversion of tpsi to psi is 17,920psi for your pressure target, or 8.0 tpsi (UK Long tons)
Modern regulated loads to accomplish this:
650gr jacketed bullet - H4198 powder - 78 grains - Fed 215 primer - Bertram Case - 1840fps (if it will regulate) Dacron filler.
650gr jacketed bullet - Varget powder - 100 grains - Fed 215 primer - Bertram Case - 1850fps (if it will regulate) Foam filler.
650gr jacketed bullet - AR 2207 powder - 78 grains - Fed 215 primer - Bertram Case - 1840fps (if it will regulate) Dacron Filler
650gr jacketed bullet - AR 2208 powder - 100 grains - Fed 215 primer - Bertram Case - 1850fps (if it will regulate) Foam Filler.
Wadding and stuffing is CRITICAL to these loads. Not using correct wadding or filler can result in damage to gun or personal injury.
None of this is my opinion, don't sue me. Sue Graeme Wright if you injure yourself. (that's the legal disclaimer there at the end)