How to Do It
Basically, in case you are having trouble with the Ram Dailies, what you do if you are a Healer is to queue in the LFG tool, with about 2 minutes left. You should most likely be able to get a group within 2 minutes, if you are a Tank queue with about 1minute left on the ram, and if you are a DPS queue a few minutes before you pick up the Daily (on my realm anyways), once you enter the dungeon, you can either actually do the dungeon or leave immediately, it's up to you.
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The Results
Once you leave the dungeon, you will be mounted on the ram, and have the timer reset back up to 4 minutes, giving you extra time to complete your daily.
I'll upload pics tomorrow when the daily is available again.
Enjoy!