"Well....the only advice I can give is to go that way for several more days. The first city you see will be Vedlund, go around it and follow the road further that way. Then you will see another city, a big one. Fly over there and look for a building like this..." Alaric tells the dragon, describing the capitol of Azgund and in particular the Adventurer's Guild headquarters.
"I'll write a note, and you can give it to someone in that building. People might be scared of you at first, just tell them 'Alaric sent me'. Someone there can read the note and then they might be able to help you, Shraezek. Or they can tell you where to look next. My teacher, Entan, might know something to help you, or might know where you can look for a cure." he continues. When he says 'Alaric sent me' he says it in Azgundi, wanting the dragon to repeat it in Azgundi when he gets to town. Alaric is momentarily amused at the thought of all the ruckus he might cause in town by sending a small dragon flying in to deliver a note.
Alaric will get out a piece of parchment from his pile of stuff by the bedroll, cast a Light spell on his pen, and start writing out a short letter to Entan 'or whoever else gets this message' in the Guild. He'll sketch a rough image of his face on the lower half of the page, plying his minor artistic skills, just so it's more obvious that the letter's from him. He will of course mention himself in the letter, and what the dragon has said about the draconic affliction.
He mentions the dragon's name as Shraezek, and marks down the date so Entan or whoever else reads it will know when he sent the letter. Alaric also briefly writes about the zombie/ghoul affliction he saw in the stone quarry near Vedlund, and mentions the strange bandits that appeared and disappeared earlier today, describing what he can of their appearance and such. He'll tell the dragon not to put the note in his mouth or otherwise get it wet, because it will ruin the message.