Keep in mind that a regular DAC connected via coax or toslink (as opposed to HDMI) will not decode BlueRay audio.
So in the context of your budget, I would recommend to set priorities. Your Mac Mini can double as a CD player, even DVD player if it has a DVD drive. For now, I would focus on getting the best DAC possible for the money you have, and then later lurk around this site for a decent used BlueRay player (such as Oppo BD-83).
For your Mac Mini, I would recommend a dac with an asynchronous USB input-or other dac design with very low USB jitter. However, in your price range, the options are quite limited, but I would look into HRT Music Streamer II+ and CEntrance DacPort LX.
So in the context of your budget, I would recommend to set priorities. Your Mac Mini can double as a CD player, even DVD player if it has a DVD drive. For now, I would focus on getting the best DAC possible for the money you have, and then later lurk around this site for a decent used BlueRay player (such as Oppo BD-83).
For your Mac Mini, I would recommend a dac with an asynchronous USB input-or other dac design with very low USB jitter. However, in your price range, the options are quite limited, but I would look into HRT Music Streamer II+ and CEntrance DacPort LX.