Playing around a high-cost Dragon wants you to play the strongest board from the get go! A good starter for this comp is by running the low cost mage trio and Tristana to activate Nomsy with Trainer.
At this point you are able to get to 5 Mages while still having Nomsy frontline. We swap Tristana out for Lulu providing a bit more support here too. Sylas is a great frontline tank to hold your items and Ryze can hold all your damage items.