So according to Audeze in order for the headphones not to clip you would need to output at least 1W into 50ohms. Because of that I would count out the Burson SL and just go for the soloist. Also the I think the bottleneck in your chain is more your dac than your amp. The Lyr surprisingly puts out more than enough power to make the LCD2's sing. Is it ideal, no, but I think that you will hear a bigger difference if you upgrade the ODAC. If you want my opinion on which amp out of those three to get though I would go for the Vioelectirc. Also there is a LCD2 amp recommendations thread already which you might want to check out.