I don't have arthritis, but this may be applicable:
I have had for many years suffered recurrent RSI (repetitive strain injury) in my left wrist when it is bent over. When it is bad, it makes playing more than a couple barre chords in succession impossible, and even on a good day it limits what I am capable of barring.
My solutions were:
Primarily - play fingerstyle pretty much exclusively. This means I can often simply only fret the strings I am currently playing, and not worry about all six; the wrist strength required to barre is far more of a problem for me than finger gymnastics.
Secondarily - just change the arrangement. Intersperse non-barred chords between the barre chords to stretch my wrist back in the other direction frequently.
I am an amateur with no requirement to learn songs "authentically", so both of these solutions work for me.
And one more thing is to accept my limits: on a bad day, put the guitar down instead of getting frustrated and down; on a good day, play as much as possible.