Hi, this is one of a few issues, that I have seen arising when teaching folks in my One-To-One Zoom sessions.
The Barre chord is the traditional method but it is not ideal for steel string rhythm accompaniment, especially when changing from first position C or G shapes.
NOTE: the length of your thumb or fingers does NOT restrict this fretting method. It is really a matter of learning how to place your hand behind the neck. I do accept that it takes a little time to adjust to it, but it will enable you to make smoother changes, and with less tension on your hand and forearm - your wrist will thank you!
I hope that this short video will help you, and your questions and/or queries are welcomed. Remember, if you would like to try my one hour one-to-one sessions via zoom, then please drop me an email to [email protected].