Grembo, that only works if you're in a party though - I know a lot of people cheap out and run FATEs in parties, but I certainly don't - it ruins the freedom of playing at my own pace. The OP also specifically said she was not doing FATE parties, meaning she's solo.

In any event Cel, all you can do is quickly target someone with the mouse and try and get a Cure off fast. How FATEs are set up though, you get more exp by actually pulling hate from the target, meaning dealing damage to them will get a higher ranked medal at the end and hence more exp and gil.

Hence, use Aero regularly and throw off a few Stones as well (switching into Cleric Stance will help deal more damage to the target, but your healing spells will suffer naturally), while still healing anyone who needs it.