Post pics of your roster and the forum will give you great advice.  

With Dragon, the secret skill Scorch will kill you pretty quick. Without more info from you, I'll guess that is what is killing you.  If you have earned Scyl yet, you need to bring her to the battle. She will keep you alive. Also, bring a Poison champ. A pretty good one that is easy to get is Frozen Banshee; she will make it so that you don't have to be exposed to that Dragon Scorch. I used her in Dragon up until I got Gnisak. Banshee is a Magic Afinity Rare of the Undead Hordes faction. She can also take a hit. I put her in a Relentless set and run her at around 200 speed.

Note: People talk about pairing her up with Grave Chiller; another Rare champion From Undead Hordes. Grave Chiller synergizes well with Banshee.  I would maybe give that a try, just for fun.