Dude (or dudett) you need to get more sleep time. But if you can't (I can understand even though I used to get up at 3am) buy a voice recorder. As you get ready for the day talk into it and tell it about your dreams. If you want to write them out later you can.

And besides you don't have to write the whole dream out just highlights like "the gunfight under the bridge," then go back to sleep. You can fill in details later.

Let me know if this works for you.