Interesting. Similar to a five player drafting variant proposed by the publisher.
Here is a non-random 5 player setup:
Each player gets a set of cards (Example: Pete gets the Red cards)
Each player chooses a card from their deck and passes the deck to the player on their left. (Example: Pete takes a red card and passes the remaining red cards to Dave (on his left) and gets the green cards from Vince (on his right)
This continues until each player has their 5 different color cards. Have fun.