my elbows were puffy & swollen for awhile, with sore spots above and below the elbow joint.
My sore spots were from the tension of the spazed muscles pulling on the other muscles, ligaments & joint connections.

dr didn't say too much about it, but did rx PT and evaluation,
PT reported back to dr that ulnar pressure braces/straps were needed.
so they gave me those to wear , plus PT where they focused on releasing the tension and swelling in that area.

does the swelling go up into your arm pit area also?
some of it could be from lymph backing up or sluggish.
also overusing or not enough movement

you can look for videos/info about lymph massage to see if it might be useful.