As others have stated, the inflammation is most likely not the salt, especially if you have good kidney function (may be worth checking). Also if the salt is causing some edema it will usually show up in the feet and ankles, more so than the hands. And moreover, it's generally not so much the salt behind the edema, as much as it is the hyperinsulinemia (elevated glucose) that's the main culprit. And that's a great sign if your hand and fingers are doing better on carnivore. I would definitely give it some more time and keep going.
What was your diet like before carnivore?
When I was younger in my 20s I experienced a few months where I had Tinnitus in my ears. I never knew where it came from or what it was all about, but it was a bit scary when it happened. It eventually went away and I forgot about it. It wasn't until I came across Keto/Carnivore that I realized the Tinnitus was caused by the excessive carbs (noodles) I was eating at the time. It makes perfect sense now. Perhaps your ear thing is something similar.
It does seem with Carnivore you're giving your body the best shot at cleansing itself and finding a stable place to reset and build from. As others have mentioned, if you need to tighten it up and do all ruminant meat, water and salt, that will give you the best shot.
Good luck!