Been there done & I feel your pain.
Depending on the circumstances, you might consider doing what Earl did quite a bit- stop playing while singing. I’ve seen this in a bunch of Flatt & Scruggs videos.
However, if you’re doing a solo act I would defer to anything Ben has to say about it.
Or pretend you’re a guitar player & just pinch the chords & leave the good stuff for when it’s your turn for a solo or somebody else is singing.
I hope you enjoy your many hours of frustration!
EDIT: Lordy! I just noticed how old this topic was! I had just become a Gold Pick member, so no wonder I didn’t read it back then. It was way above me!
Now it’s just a little bit beyond my reach.