Brian,
I can't help thinking your problem isn't electrical, you said you have a healthy signal when the TX is turned on, this suggests the transmitter module is working, however you get nothing in bind mode! I could be wrong but I think it is highly unlikely that there is anything electrically different between the two operating states, I'm guessing normally when you put the TX into bind mode the software is looking to do a handshake with the RX, i.e. it's just different data, but still data.
What you describe seems to suggest OpenTX has turned off the signal for some reason, in a similar way to the OpenTX telling the transmitter module to reduce power in range finding mode. Or not to use the internal module if you've selected the external module. I don't know if Open TX reduced output power in bind mode, it would seem sensible considering the likely close proximity of TX and RX during that process, but again I don't know.
You said you had a dodgy USB cable, is it worth doing a fresh installation of OpenTX. And maybe even the transmitter module Firmware?
Just going back to when you put your TX in bind mode, does the black box around [Bind] blink?
Another thing might be to quickly create a new model and try binding that, just incase there is a corruption of your original model memory, I think this is unlikely, but takes only a minute so worth a go.
It's a funny one, and might be a combination of things, for example RX that is flashed to EU LBT but the TX module still running on an older firmware (or vice versa) so no hand shake, and the volume pot down on your radio so you don't hear the beeps!
Before putting your hand in your pocket I suggest you put up a post up on RC groups in the X9D section, some of the developers hang out there and will know the interactions between Hardware, Software and Firmware, and hopefully have the knowledge to get up and running again.
I'm sorry I can't off any real help, my knowledge is limited to the problems I've had and they have mostly been of my own making, or a misunderstanding of how it all works.
Best of luck, Chris