The 31.5 transport will easily outperform the #37.
The 360s DAC and either the 31.5 or the 37 outperformed the #39. I've not listened to a 390s, but I've a friend in the business who does and has compared all combos and ranks them this way:
31.5 and 30.6 DAC
31.5 and 360s DAC
37 and 360s
390s
39
Thought this might help!
Steven