Reinstall the game, a fresh install, wich will require you to go into your .../Steam/steamapps/common/ and delete the Fallout New Vegas folder entirely for a 100% fresh install.
With this done, install one mod at a time with NMM, once one mod is installed, check if everything is loading in the right order and get into the game, if everything is normal, save, and install the other mod, check if the order is correct in NMM and start the game up again. If everything is fine, you know that both mods work together just fine, if something happened, you might require to check both mod pages and read it all.
Sometimes the way to make something work, is by reading the entire page.
Never had issues with Breeze's Bodies alone by itself, only a major erection in my characther when he is naked and only wearing underwear.
If you don't want to make a fresh install, you can always try out and read the mod pages carefuly to see if they say anything related to both mods, or about body/character mods in general. If nothing is said, do try using BOSS to manage the mod list.
Hope it helps you.