Tuesday's are typically when WN loads their fare sales (which the legacies may or may not match). Given that WN doesn't even fly to Hawaii yet, I would not expect any new offers on Tuesday on DL. Also, they have an existing one that runs 1/2 - 1/25, so they probably won't launch a new on until this one is done.

You can do JFK-ATL-HNL-LIH-SEA-JFK on 1/22 for $595 BE and $645 main cabin by the way. 10,844 MQM's.