Sorry to rez this after so long - but worth answering the question for anyone else who has struggled with this.
You can import .blend into unity just fine. It will import in with all the UV mapping info/data included in it BUT not the texture. The material it imports with will not work in Unity, and you'll have to create a new one like such:
All you need to do is:
- import the image file you used as a tileset in Blender into Unity - it should import as a texture.
- Untick generate mipmaps from the texture settings of this file, set Filter Mode to Point (no filter)
- Create a new Material
- If you want the material to be affected by lighting - Use Standard shader with Cutout rendering mode
- If you want it to be unlit - Use the Unlit > Transparent shader
- In the Albedo section of the material you just created - drag over the new imported Texture you created (there is an empty square box next to 'Albedo' you can drag it over to
- Now apply the material to the imported .blend object in your scene and BOOM should all be textured for you