A quick update:
Because of some computer issues, I was forced to reinstall everything, so haven't had editor available. But now, everything's fixed and I will continue development of the next mission.
Terrain is just about 60% done. Once it's finished, I'll make a short terraining showcase video as I've done before.
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I would, but I'm in NA and am going to sleep now! I do plan on trying this out before the weekend though.
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The HotS/LotV missing dependencies is also happening to me. Just click No, the go to File>Manage Published. Here, you have to log in to Battle.net, then try reopening the map in question within the editor and it will work properly. This may actually fix your other problems too.
I'm hopeful this will get corrected soon because it just adds another unnecessary step to playing anything offline through the Editor.