I recently got a Body Replacer mod and I'm positive it conflicts with MMM's texture that dead bodies become bloodied. The bodies turn green now and, yes, I have FCOM_Convergence_MMM.bsa. Is there a Wrye Bash option to allow these to function together? If not, how can I get rid of the MMM texture?

That wouldn't be a conflict with body replacers. It's almost always caused by having the MMM.bsa renamed wrongly, so triple check that it's named FCOM_Convergence_MartsMonsterMod.bsa

I think you can turn off blood textures via Wrye Bash now in one of its tweak sections, but this seems like an indication that somethings wrong so better to fix it first - then turn them off if you don't like them.

EDIT: MMM also comes with a Mart's Monster Mod - No Blood.esp - but as said, seems like symptom that's something's up so better fixed first.

EDIT: Right, it was you who had http://www.gamesas.com/index.php?/topic/1110615-problems-with-mmm/ and it never was determined which versions you're actually using. The latest MMM requires a complete uninstall of any previous version, so it could be caused by that as well. Hard to say w/o knowing which versions you're using.