Ditto on the Lazy Croc, Great food ,nice people. I have never heard of any any live music going on there.
Also, In town, BC'S Bar right on the beach next to Blue Water Grill has good BBQ on Sundays with Dennis Wolfe and the Usual Suspects Open Jamm . Check it out You will have a great time for sure.
I know that's where I am going on Sunday
If you sing or play Guitar, Drums, etc. you can sit in and you will have an even better time.