I have a $15 DAC for sale on EBay that might work. I can send it over in a bubble envelope for you to try and you can throw it away if it doesnt work. Definitely meets your space requirements...
niner: its always useful to learn to read a schematic. Sometimes there are things on a schematic that aren't translated to PCB artwork that are useful to know. You need to remove two capacitors on your T2 build, check the schematic for more info.