ManyFaces
Devil's Advocate
Just make a dragon or dragonkin if you like dragons so much,or pair your elf with a dragon,or make a hybrid between elf and dragonkin.It appears as mentioned that no character can be part dragon,as far as breeding goes the pairing would be impossible since well male dragon x humanoid = the dragon obliterating the humanoid and the other way around would end with failure dealing with incompatibility.