Lurked the CAP forums for a couple of years, wanted to finally jump in. I've got two options I wanted to run by you quickly before making a final submission:
WIP
Hypnagon
"Hypnagogia" + "Dragon"
Pronounced: hip-nah-gone
Hypnagogia is the state between sleep and wakefulness, where you experience the phenomena of sleep while you are conscious enough to be aware of them. Dali referred to it as "slumber with a key", using it for creative inspiration.
WIP
Somnogon
"Somnolence" + "Dragon"
Pronounced: some-no-gone
Many words relating to sleep start use the word 'somnus' in some way. Somnolence is a state of strong desire for sleep, or sleeping for unusually long periods.
(As a bonus: when googling Somnogon it asks you if you mean Smogon)