I have a similar situation but am building on a an outdoor deck frame in Kingston, Ontario.
Laminate is out because of humidity and freezing.
Vinyl tile shrinks (permanently) when if freezes.
Could do slate, but am worried about the weight.
I like cedar but I don't want space between the boards which is required for expansion.

So I am ending up with a remaining option of "plastic" wood. This product looks interesting, but I haven't priced it yet: http://www.trex.com/plan/products/porch/trex-transcend-porch/index.htm

Hardy board attached with 2.5" screws to the joists thru the decking, ceramic tile.As long as the tile is not exposed to the elements (freezing and thawing of water)you should be ok.
Go to a tile supply house(not a box store) and let them know you situation, they will set you up with the right materials.