Well one that comes to mind is blood sausage, but you'd omit the fat if not substituting coconut oil, and switch to beef blood.
I think that a dry sausage like
Sujuk would be the thing for you. The version I've gotten in the past from an Armenian store was Turkish, so it was beef based, and it didn't have much if any fat. You'd have to omit the pepper and the garlic. (You might see if you find a bodily reaction difference between roasted fresh garlic and garlic powder. It might be an anti-caking agent in the dried spice that's giving you fits ?? Roasting might also eliminate your reaction)
Here is a website with as close to what I had as I can find. Any fat in the sausage came with the meat, not added as extra.
Use ground venison instead of the beef, and I think you will be fine, and omit the pepper and garlic.
https://tasteofartisan.com/homemade-dry-cured-sujuk/
LD