Hi mate,
I live in Palm Cove and kite here regularly.
There is room to launch your kite at the southern end of the beach (best kiting there anyway) and plenty of room for launching at the Palm Cove Watersports area.
There is hardly anybody at the beach.
As Bob said Yorkeys is fine and Port Douglas is very good too.
Bring your gear and enjoy your stay.
Cheers
Caesar
PS: I'm recovering from an injury; that's why you wont see me there.