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The problem with Ice isn't so much it's amount of weaknesses, but rather, it's embarrassing lack of resistances. With weaknesses, you can dual type it to make up for them, and even so, as a wall you want resistances.
Ice has only itself as a resistance. That's seriously horrid.
So in order to get a good defensive Ice type, it basically has to be either Ice/Steel or Ice/Fairy, with a stellar BST and stat distribution and walling movepool. The type doesn't help.
There may be hope for it yet, though. It could pull off a tanking set nicely, as Ice is a great offensive type.