The other day my LS was fighting Avalerion, and we triggered the !!! from elemental WSs (don't remember which one exactly, was a NIN WS I think) and we got the Atma of the WInged Enigma to drop. It gives Haste Minor and Enhances Rice Ball Effects.
With this Atma, Roshi Jinpachi, and Nobushi Kyahan MNK can now get 3 Enhances Rice Ball Effect items. I think that (ignoring other stats) a shogun rice ball will give you +150 ATK and +15% DBL ATK for 60 minutes with these buffs/gear.
So, I don't know what the haste % is that you gain from the atma, or what form of haste it is, but any monks out there think about experimenting with this? I recently bought the jinpachi and killed lividroot amooshah last night (no drop), but I think this seems to be an interesting option for MNKs. The main thing I'm worried about is losing 8% haste from Wahahra and Fumas, though like I said, I might get some of that back with the atma haste.
Any thoughts?