I have had no problems with NBTs on deer but wouldn't suggest them as all purpose load for the likes of elk. I have had very few non exits with the NBT on our canadian whitetails or mulies and even those that didn't were DRT.

To the question I have no experience with Fusion ammo, sorry. The NP or Accubond would be a fine choice, both have worked well for deer through moose IME.

Good Luck