The 270 Speer is reported to be a soft bullet, should work well at mod velocity.
I'm thinking 235 gr. may be a good choice, more than one to choose from.
I've been wanting to load my .375 H&H for hogs and deer, diverted by too many other projects. One of these days, for sure.
I know what a 250 gr. TSX at 2,550 out of my .45-70 will do to WT's and hogs. Pretty amazing, very destructive.
A .375 version of that load would for sure work.
DF