As noted by kguler the Front End option: MessageOptions -> "MaxMessageCount" does not appear to have any affect on the number of times a Message is repeated ...
While answering Trouble getting FindInstance to return multiple results for certain constraints it became clear that for this problem FindInstance would be better ...
Mathematica has a lot of undocumented or poorly documented options. How does one go about working out if there is an undocumented option that might solve a particular problem? How does one work out ...