You do have a wide range of musical tastes... I know what I have owned. Currently, I have a Classe cdp.3 and at first I was not crazy about it.. but after a few days of listening I realized it is a wonderful player. The highs are super detailed and vocals are very 3 dimensional. HDCD capable.. coax and bus out plus balanced outs... excellent build quality. Used price about 700 or so. Cables will make a difference...and this player doesnt get the best reviews.. but it is the best sounding one I have had. Secondly the NAD s500 silverline if you can find one is a great player..very musical and warm sounding for solid state. All the goodies dig out and xlr. I have had the Musical Fidelity a3 cd... did not like it at all... very harsh on the top end otherwise nice looking and a good transport...I have heard nice things about the Theta miles, but unfortunately have no experience with it... By the way, any of the above players... you could always buy a couple of different dacs and see what mix you like the best..
Good luck!!
Good luck!!