I can highly recommend Audio Research DAC2 for you. Currently there two units available, one here in Audiogon and the other other at High Performance stereo. I believe unit from High Performance Stereo has new caps installed.
AR DAC2 is a solid state DAC built around Ultra Analog D20400A DAC chip, one of the best that has come to the market. If you are wondering, some of the top of the line DACs from Stax , VTL, Manley, Mark Levinson, Sonic Frontier, etc., were designed and built around this particular chip. It is one of the best DACs in addition to Burr Brown PCM63 another best performing DAC chip. Both are 20 bit implementation and multibit DAC chips.
You can get AR DAC2 for $1,300, well under your allocated budget. Keep the rest for software.