I have this...occasionally liquids will go down the wrong way, making me splutter a bit, but mostly it's the chest pain. It's not so bad right now, it seems to be worst when my UV is bad for some reason, but it feels like I'm trying to swallow a basketball, even when I'm not eating, and eating is torture, even tiny mouthfuls.
I think part of it is dryness, but my rheumy thought there was some dysmotility going on too. I had a barium swallow a few weeks back that didn't show a lot, but I had no pain at that point so I wasn't expecting to see much. I will see if I can get it repeated when it's next bad. Even swallowing water is too painful when it's really bad, and I can't do anything, can't sleep, can't walk around, can't even sit and read a book because it's so painful.
Oddly, taking 5mg of chewable montelukast at night helps me. No-one knows why, and that's not what it was prescribed for. I was given it to try to help with the rash, and while it didn't improve my skin at all, it helps with the chest pain. Like I say, the reason for it is totally unknown and montelukast isn't a recognised treatment for dysmotility or whatever it is I have.
I think dysmotility is quite common in Sjogren's, as is dysphagia from dryness. It's definitely worth getting it investigated, though, because it can also be a sign of autonomic neuropathy, which obviously needs treatment quickly. Talk to your rheumy/GP about it. I really do feel your pain, and I hope it settles soon for you.