Wait a minute, after thinking about it the daily pull doesn't seem so bad, since in one aspect drawing 5* is a pain in the ass to level the special since you would have to feed it 3 identical 5* medals.
As far as I can tell, it seems good to draw one 10 pack just so you're guaranteed to get at least one 5* so you don't get screwed and can progress in the game, and afterwards pull from dailies where drawing 3* won't hurt as much since you're getting medals at a better gem rate and if you level a 3* to 5* with the special, then instead of using 3 5* medals you can use a 3*, 4* and 5* medal instead.
Any thoughts?