If you're getting sent into the Alarum Towers, as long as your GCDs are consistent, you should always be able to finish off your CT/FT combos and land your 4th on either Quickthinx or one of the Dolls. You don't have the bomb, so you can consistently keep attacking.

Also, as long as you're using your BOTD on CD, it should always be up for the Alarum Cages, regardless if it's on the first or second set.