Radical Idea: Give Free Quest Related Skins in Normals
Throwing this out there as yet another "Incentivize Normals" plea.
What if, in the instance where you have a quest that calls for a skin, you could option those skins in normal matches only until the quest was complete. For example:
Fun in the Sun - play with a Pool Party skin. Not fun in the sun - play with a Snowday Skin
When a player has that quest open, all skins that qualify are free to use until the quest is over.