Here's the Square Grid version. we actually broke some new ground with this. we started by layering both the Hex and Square Grid onto the map. This let us then move our position for each of the doors and walkways to places where both types of grid line up naturally.

After that, we moved our objects slightly, to better fit into places where they conflict with neither grid type.

Lastly, we saved it into two different files, and manually adjusted each of those maps individually, so that the hex and grid versions are very slightly different, you don't notice the alterations, but each fits it's own overlay more properly.

Click image for larger version. 

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