I used the mk.IIIs with a CJ ACT2 for several months. Its an excellent single-ended preamp that matched nicely with the M60s, which did nothing to hide its character. Later sold it to buy an Atma-Sphere MP-1. I'll concur with Swampwalker on using a balanced preamp.
An ARC Ref3 could work well, but I haven't heard it with the M60s. Are there sonic issues that lead you to look for something different than your MP3?