Speaking of WooCommerce, Liquid Web has announced “Managed WooCommerce” hosting. As Chris Lema explains, “it's a total solution, not a single plugin.”
It isn't public yet, but they are accepting signups from interested parties. It does several things to help improve WooCommerce speed, like put orders into their own tables (which is planned for core but a ways off still). I'm really interested to see how this goes, and expect several hosts to up their WooCommerce game.