I haven't heard the Rogue, but the Cronus is a push pull EL-34 based amplifier and if it sounds like other EL-34 based amplifiers, then it's characteristically big, beautiful and warm.
The LFD is a solid state integrated which does an admirable job sounding as good as a SET amplifier but also has the virtues of solid state.
I have never heard a Harbeth speaker, but my understanding is that they're lush and warm speakers with a beautiful, tonally rich mid-range.
Given what I do know, my money would be on the LFD, and it is well known in Harbeth owners circles that the two have great synergy together. The US dealers of Harbeth typically also carry LFD and recommend them together, so I think that does suggest a good pairing.
If you really want to know, try to audition both.