http://bugs.winehq.org/show_bug.cgi?id=34195
--- Comment #7 from Henri Verbeet hverbeet@gmail.com 2013-08-04 12:55:03 CDT --- (In reply to comment #4)
Henri Verbeet, can you try with a clean prefix? You don't need to reinstall StarCraft II; you can run the .exe from anywhere.
Yeah, that works as well here.
I don't see anything obvious in the log. Do you get a good backtrace from the game? There should be crash dumps under ~/StarCraft II/GameLogs/, unless you changed the desktop integration link for "My Documents".