+1
However, the first thing to try is a different mic, wireless mics can be a law unto themselves so try a known, wired mic instead at least 'till you have identified the problem.
Does the problem occur when, 1/ foldback is up with no mains, 2/ mains up with no fb, 3/ only when both mains and fb up? Try all combinations to isolate the problem.
You say it's an empty bar, so possibly an echoey room and you don't say where the DLM12's are pointing, towards or away from the band?
You mention the feedback being related to having other mics open, this is a well documented effect, the more open mics the more potential for feedback but does the feedback continue if you mute the singers mic with the others still open?