What size are your custom textures? I had this happen when one of mine was not a power of 2 (128, 256, 512, etc.)

my texture is 512

Your map keeps crashing the editor for me. I'd need your terrain files and textures most likely too. You may want to try re-saving your texture with a different name and applying that to the terrain, then seeing if publishing works. I had that problem once and that seemed to fix it, something was corrupted apparently when the texture file was saved.

My friend Shutter managed to get it published (we are co-authors). It is the map Moopsies On Ice. He had to redownload his editor