I agree with all the others...the 45/70 would be my choice.
Like mkee said...if you are only shooting 150 yards or so, that high BC on the 375 bullets does not mean much... At those ranges, the 45/70 is hard to beat, and i think some of it is because the .375 bullets just dont open up as well as the 300 - 350 grain 45/70 slugs. That is the reason i sorta lost interest in the 375JDJ in the first place and went to a 358JDJ.
As for recoil, you wont want to run 100 rounds through it in a day, but it aint for plinkin, unless you just like being punished. i think my Scandium/Titanium Smith .357 with heavy loads hurts my hand more than either the JDJ or the 45/70. There are lots of good low-recoil 45/70 loads out there for practice too..