TC doesn't offer a 375 H&H barrel as a pistol, but I suppose if you had to have one, MGM or one of the custom makers could oblige you.
I have a 375H&H Prohunter rifle barrel, shoots real good with 270gr Hornadys with a near max load of N160 @ 2670fps, that's two 3-shot 100yd groups, the group on the left is .5gr more than the other group after a slight scope adjustment to keep it on the paper.
Tim