I like to try chord inversions up the neck which can create something like a simplified chord melody, chord extensions, hammers, pulls, slide, arpeggios, cross picking, maybe some bass runs or G runs. None of this is really soloing, but it is more interesting than scraping out the chords while signing.
Jeffery Pepper Rogers has a book/video called "Beyond Strumming" which focuses on all sorts of techniques to add interest to acoustic guitar arrangements. It will give you a lot of ideas that can be used during instrumental breaks to add some spice. I've spent some time with it recently and recommend it to you. He explains things very clearly, and his materials are very professionally done.
Lot's of folks like a book series called Flat picking Essentials. I believe it has a bluegrass slant but there are lots of flatpicking skills taught.
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