To make it easier on myself I breeze myself first and go left to right along the line in the group member's name (and health/mana) bar.
That way if I see 3 new breezes at the bottom and 3 old breezes at the top of the spell window (which I moved to the opposite side to keep track of just this) I count three people over and target the 4th in line.
Alacrity goes on only melee types in the same fashion.
Also out of frustration I gave up and just breezed in battle on multiple members, attacking etc. during the refresh.....without drawing aggro once. I tried it again next time and the next and the next. Never once did I draw aggro when this happened so it is a bit of a relief to me to know that I dont have such small, sparse windows in which to breeze....Now I just cast it whenever it is needed, battle or no battle. No problems so far.