So with 416 CP, you can use any of the following foods to achieve the 437 CP for Rath's Rotation, all of which would give you enough CP to have one free Basic Touch or Precise Touch in place of a Hasty Touch.
HQ Bouillabaisse, +43 CP, easy to craft as 50 1*.
HQ Baked Onion Soup, +28 Craftsmanship +48 CP, easy to craft as its a level 52 recipe.
HQ Seafood Stew, +31 Control +50 CP, probably your best bet as your control is rather low.

Out of interest have you been over melding with Tier IV materia? As your stats seem quite low for having all but 2 slots spare. Go to ffxiv.ariyala.com and put your melds in and post a link so we can see where you can remeld to improve your stats. For reference I've got 1000 Craftsmanship 950 Control without any melds on my tools and no Tier V overmelds.