How do I add thickness to a Digital Elevation Model Plane? (Zbrush)

Hey guys, first post here, Ive been looking for a solution to this problem for a few days now and it's time to ask for help.

So I've used a texture map on a flat plane, inflated some cool texture from a height map.. and i want to 3d print it.

Problem is, the plane is like 1 pixel thin, I've closed the holes on it but its still wafer thin. If i try to extrude the back side it pulls the whole thing with it. 

-I have also tried drawing a BLACK border around my inserted image to try and make an even border i can maybe grab and pull backwards but thats proving to be difficult too.. any help would be greatly appreciated, thanks!

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