I like the idea. I would suggest the DAO keeps a decent portion of the $AKITA, like 10-20%. It might be a small revenue stream, but it can help underwrite the costs of development and administration.
$HACHI could be given out to active users.
You could also burn additional $HACHI in your purchase transaction to increase the burn on $AKITA. The DAO may be getting less $AKITA in the transaction, but it is also decreasing supply of $HACHI.