Attaching a Sister to the DR

I have been thinking I wish to attach a Sister to the Dragon Reborn, but I also realize I believe I need the Amyrlin's approval to do so, and also the Amyrlin may wish to send other sisters. So, I what does everyone think of the practicality of getting some Grays together to discuss such a matter? I think it would be nice for the Gray to organize a proposal to bring to the Amy about having a sister from each Ajah sent to the Dragon as an advisory council of sorts :D

However, how practical is this RP wise, with the nature of how the Dragon is played? There was a recent discussion made on the Main Characters' personalities for DM so I'm thinking an effort is being set up for him to be played me, so this idea came to me.