Red this interesting thread for the first time.
I would suggest to pair the quickie with decent earbuds.
K's 500 or K's 600 are both in the 110db / mW ballpark and they are pretty good (and not so expensive, between 70 and 110 USD).
They both are high impedance earbuds (500 and 600 ohm) and, IME, their sound is close to over-the-ears phones (I also have Grado gw100 and AKG phones to compare with).