MarconiSalad:
I've played around with the Amperex 7319 and haven't found much that it sounds good with.. one thing for sure, don't pair it with Amperex 7119 output tubes

not a pretty sight... also, I didn't really care for it with the 5687... shrug, just haven't found a good combo yet... I think my favorite was a pair of 6SN7s as output, but this was a while back... I also haven't had much luck with the Amperex 7062 either...
Amarok:
well, since you have my favorite 6BL7GTA (the RCA side-getter) let me recommend a RCA black plate 12bh7 as driver, which I'm actually listening to now

Also, a Hytron 5814a and Siemens ECC83 are others favorites with the above output tubes... so many choices...
oh! also the TS that I mentioned a few days ago is nice if you like a similar sound and drive that the TS 5687 offers as output... when I rolled it in, I honestly thought I was still using the 5687 output and hadn't pulled them out from when a friend was over and wanted to rock out on my MPX3

Also, are you running these at the high gain setting? If not, that may be why the 6BX7GT tubes sound lifeless and rough... I've really all but given up on other output tubes, as I'm so happy with these two at the high gain setting.
I have a few tubes I haven't listened yet, perhaps a gem is waiting?:
GE 6189W (12au7 replacement I believe)
Sylvania 6189W (12au7 replacement I believe)
GE (labeled IBM) 6350 (I believe I need another adapter for this one?)
Sylvania 7058 (I'm not sure if this will even work

GE 5965A (a 12av7 replacement I believe)
GE 5963 (12au7 replacement I think?)
anyways, I'm still rolling along!