So you're saying you're going to hash the keys, then sort them according to the hash, with tie breaking on the key itself? I'm not aware of any sorted table that does this, but I'm sure some exist. I suppose you'd get something of a win if N was large, and the keys had long common prefixes, and you didn't care about the ordering property.
But in that case you'd probably use an actual hash table, not the algorithm you just described. Unless there's something I'm missing.