Many times elbow problems are caused by issues with shoulder stability. Or weak seratus or rotator cuff muscles. Here are a couple easy moves to work on that stuff. There are no good pictures, you’ll have to use your imagination.
This dude is supporting himself with 1 arm. All his shoulder stability muscles are working hard to hold things in place. Especially if that arm stays really straight. If this dude just held this position for awhile, and thought about staying square and tight, he’d build up some shoulder stability.
If you didn’t have a ring you could set up a barbell in the rack and use that instead. If the rib muscles under your arm that support your shoulder are weak you can move your feet back so you’re more upright and you have to support less body weight.
Then you could progress by hanging on longer and longer. Then make the move harder by sliding your feet forward, leaning back more and using more body weight.
Now check out this other guy. He has bent over, moving into that position that hurt you. To make this movement less painful you could put your hand on something higher (like a barbell in the rack) and not bend over as far. You could move through the partial ROM that didn’t hurt. The ROM where you can support your shoulder properly, like before your arm gets all the way over your head. The ROM where you can feel everything working smooth. Then to progress you could lower your hand and bend over a little farther.
Consider front squats, belt squats or stupid zercher squats for awhile until your elbow feels better.