This level isn't as eggasperating as it looks!
Make your dragon by cracking the iced crop in between and then you can swap the last egg to make the row.
Breaking the rest of the iced crops is pretty easy as long as you get cascading crops, so building up points on them will get your crops. Its a little harder to get more than one star unless you are lucky, but hey, that's a pass, does it really matter?
You don't even need to move both chickens to get a good amount of eggs to make your chick. Just move them while you are busy making crop rows and they will soon fall into place.
Save your shovel for cracking eggs, or helping for extra points at the end of the level.