Decks, Patios, Porches and Docks - Cement board use

I could submit to "Bricks and Masonry" but hopefully somebody will have an opinion for me here. I have 2 wood porches one treated and one fir, both painted ( I really goofed) with latex primer and deck paint (twice). Now they are peeling again and I want to try installing an exterior slate or tile over cement board. I live in the midwest and wonder how the freeze thaw cycle would affect it.

Any suggestions, ideas, etc would be appreciated. Thanks Don

If your part of the midwest is similar to mine, you have humidity going from 20% to 100 %, and temperatures from zero to the mid 90's. The expansion and contraction problems of the wood porch added to some expansion and contraction of the concrete board, will cause the tiles to possibly pull loose, or need re grouting on a regular basis.
As the saying goes, the only permanent things are taxes and death.