The .44-77 is a great cartridge and one of the most misinformation written about it, mostly from people that don't have one or shoot one and don't know anything about the cartridge and this goes for it's big Brother the .44-2-5/8 (.44-90bn).
I have several .44's, I like the caliber, one .44-77 two .44-90 bn Sharps and one .44-90 bn CPA 44-1/2 Stevens. Three with the 1/19 ROT and one with a 1/16 ROT plus a couple .44 straights with 16 and 17 twists.
The .44-77 does not give up anything to the .45 calibers. In my opinion it outdoes the .45's in my opinion.
A little hint,

We all look for the golden bullet, don't matter for what caliber you shoot. There is always one better if we can just find it.
But look at the 4 cartridges below. The two on the left have a bullet I had reproduced from a original used in the past. That profile was not just used by the Sharps but also by most rifle manufactures of the 1800 Rds. Now days the trend is going with the two on the right, #3 is a prolate and #4 is a elliptical. The old profile will reach the target with a 1/19 ROT as far as the sight elevation will reach. The two bullets on the right will not!!! They will do a great job in the 1/17 and 1/16 ROT but the first two will also shoot as well using the 1/19, 1/17 and 1/16 ROT with the same results. Something the right two wont in the 1/19 ROT.
The original RN I have a adjustable mould that casts a .4315" diameter and it can be patched as tight as you want by changing the paper thickness, loose for the hunt , tight for the target.
The 1/19 twist will shoot this bullet as heavy as 510 gr in the .44-77 or the .44-90bn as far as you want to shoot. I settled on the .485 gr for all of the twists.
Mike enjoy your new rifle. It's a great combination, caliber and the rifle.
Kurt