The AKG K551 is a 32-Ohm headphone, which means it would be better to have a headphone amplifier with an output impedance that is 4-Ohm or less, the Essence STX has a 10-Ohm output impedance.
(I would assume the K551 would still sound fairly good plugged into the STX).
A Schiit Magni external headphone amplifier, $99, has an output impedance of less then 1-Ohm.
So the Magni would be preferred over the STX for driving 32-Ohm (K551) headphones.
The Xonar DX & D1 use the same audio processor (CMI8788) as the STX, so they all come with the same features (Surround Sound).
The Xonar DX & D1 do not come with a headphone amplifier, but sell used for around $50.
So a Xonar DX or D1 (used) with a Schiit Magni headphone amplifier should make a good combo, for use with the AKG K551.
And as the Magni is external, it can be used with more stuff besides the computer.