Tbh it is difficult to recommend anything under $500 for headphones that cost $800. You are right in thinking that no portable gear will do justice to the LCD2C. It is definitely desktop gear you need with them. The thing is between $500-1000 things get much better and more exciting. What DAC did you want to use with these budget amps? Perhaps if you save just a little more money you could try the Lyr 3 with multibit? Or the Burson budget amps seem to be good value for money too. Alternatively a Questyle CMA 400i or 600i. They have built in DACs and a pretty low price on the secondhand market ($500-700). The 2C is extremely good value under $1000. It is hard to find matching value for price DAC/amp combo under $1000.