I don't know if the end is actually the best place to get tungsten.
I've quickly flown around the main island without digging shafts or anything (I was looking for naquadah but it turns out the pack I'm playing only has it enabled in GC asteroids) and I didn't see any; mostly tin, olivine and lapis if I remember correctly. Of course it might be just bad luck.
The vein ore generation can really screw you over, and digging countless shafts just to find an ore isn't really the most fun thing you can do.