Irish, CTS usually affects your thumb, index and ring fingers, not your pinky. That's confirmed in my diagnosis and my acquaintances who used to do heavy data entry or word processing back in the 90s. That's also the opinion of two neurologists that I saw: I have no pain in my pinky, only the first 3 fingers.
It's very possible that the inflamed tendons caused by Sjogren's and other connective tissue autoimmune conditions can instigate the numbness at night. In fact, that is the most sensible answer to the numbness problem at night, as I've heard from those who don't have Sjogren's but RA who report numbness at night. The symptoms are identical: numbness of both hands, not just one hand, and down the elbow in some. Mine is half way down the elbow. These are caused by autoimmune conditions.
Why am I so certain? Because for the last 2 weeks, I've been on LDN therapy and my numbness is gone. I even tried to instigate it by sleeping on my stomach and intentionally bending my elbows and wrist. Nothing. I no longer have numbness ever since I started my LDN therapy at a very low dose of 0.5mg. I still have other symptoms and some symptoms have gotten worse. So LDN may not be a solution for everything Sjogren's. But one thing LDN did address was the numbness. For 2 years prior to this, my hands went numb. Now, at a very tiny LDN dose, I'm numbness-free. What do I make of it? Hand numbness has nothing to do with CTS; it has to do with autoimmunity and Sjogren's.
The bottom line is that carpal tunnal is very common in people with sjogrens because of the inflammation of the tendons. I had the pinky finger pain also with my carpal tunnal. The carpal tunnal doesn't just affect the thumb.
There is a sheath in the wrist that contains all the nerves and the doc cuts it to relieve the pressure. When I had that done the pain in all my fingers left as did the pain in my shoulder into my back. It is very weird the way this spreads so but remember that nerves are very interesting tissue. They are big gossips and can spread a lot of pain---just like bad news. Irish