Pixel-Perfect Tilemaps on 3d objects (SabreCSG)

Hey there. I'm making a roguelike and using 2d elements, but using the 3d trick to get nice lighting.

http://i.imgur.com/pzwoeRh.png

I was going to make this 2d, so my tilemaps I made won't work. Is there a way to make it so the size can fit a tile perfectly, or even tile directly on the 3d object? Right now, it is larger than 16px, which is my tile size. I don't care if I have to end up chopping the tilemap up, but I want it to fit the tiles, instead of going over, as it is now. It should look like this: http://imgur.com/Uk32cob.png

Right now, it looks like this: http://i.imgur.com/BRZ9ZAi.png

How can I achieve the desired effect while still using SabreCSG?