I don't think it makes a lot of sense for animals to drop gold on death, so some simple xEdit fun and here we are.

I included 4 options to choose from. the first 2 files leaves out carnivorous animals so that wolves and the like still drop gold. I think it can be justified that they ate some poor adventurer or something along those lines. The other two options include all carnivores as well the only difference being the USSEP file copies over the change to werewolves, dogs, and vale deer records.

No Animal Loot - Herbivores.esp only adjusts:

• Cows
• Deer
• Elk
• Goats
• Mammoth
• Netch
  

No Animal Loot - Herbivores USSEP.esp is identical to the above, but also carries over a change to Vale Deer to drop antlers as per the Unofficial Skyrim Special Edition Patch change.

No Animal Loot - All.esp include all the above in herbivores plus:

• Ash Hoppers
• Bears
• Boars
• Chaurus
• Death Hounds
• Dogs
• Frostbite Spiders
• Horkers
• Mudcrabs
• Sabercats
• Slaughterfish
• Trolls
• Werebears
• Werewolves
• Wolves
  

No Animal Loot - USSEP.esp is identical to the above, but also carries over a change to Vale Deer dropping antlers, updated flag for Dogs, & Werewolves dropping their appropriate pelt as per Unofficial Skyrim Special Edition Patch change.