There is no balance between DQ and Matchmaking
And will never be. These two things can't ever be balanced when we have one MMR for both solo/premades players.
If you lower the MMR filter, you will lower the queue timers, but you will get more unhealthy games (full soloQ vs 5 premades, stomp games, etc.) If you want more balanced games, you will have absurd queue timers.
I can't understand how Riot didn't see that coming....
Right now, i'm sitting at an average of ~10 mins queue timer (Low Plat ELO), and even like this, i just had 2 games in a row as full soloQ and then a duo premade team vs 3&2 premades.