Try running a repair located in the /Applications/Starcraft II/Support folder. That helps out a lot.
If that doesn't help, it may be your Battle.net Cache. Try deleting that to see if it helps.
Let's try clearing your Battle.net Cache.
1. Navigate to Mac HD/Users/Shared/Blizzard/
2. Move the Battle.net folder to the trash.
3. Empty the Trash.
4. Launch Starcraft II
What this will do will delete all your downloaded maps and Cache. Now the maps will still show up in your recently played list, however, the green checkmark icon will now change to the download required icon. Let me know if this helps.
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