I found the items I was looking for.
Art Slam at SSAM - Last Firday of Every Month. This is at the Episcopal Church on Shipley Road in Wilmington. I saw a call sheet looking for artists at the 4W5 closing party. It appeared to be an open call so I don't think it is limited to 'Christian' music.
Brandywine Suites Hotel - The Tuesday Bluegrass and Thursday Blues Jams have moved here.
Hi Ho Tavern - Thursday is open mike night at 8:30. One of the performers at 4W5 recommended this.
Blue Parrot - Open mike on Wed night. One of the performers at 4W5 recommended this.
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Barack Hussein Obama