For all with charging issues, i seem to have figured something out...
For my first rehearsal/performance cycle the unit worked flawlessly. Then last week I was 3 hours out from a show and the unit wouldn't charge. Base flashing red, and transmitter flashing dim red intermitently with the light going out after a few minutes (i assumed it was the auto shut down designed for when plugged into the instrument). I gave up and went wired.
Just now, I pulled the unit out to charge and the same thing happened. I did notice, however, that the plastic top on the transmitter had a small gap between the top and the body of the piece. I put the transmitter back into the base, making sure to press on the top of the transmitter pretty hard, and boom--the base unit light went to white with the transmitter blinking red as when I first charged the unit.
Update: after just a few minutes, everything went back to all red. After pressing everything over and over, I eventually got it back to charging properly. Clearly there's a poor connection somewhere, either between base and transmitter, or transmitter and battery.