I just recently upgraded from my Halo Triton starter kit, but I used (just) the two Triton's for almost 2½ months and I rarely experienced a burnt taste problem. If you haven't already I would try to put the device at a 45°-90° angle and spin it to saturate the wicks where they enter the coil, you can also draw on the device (without pressing the button) while doing this. If that doesn't help than you most likely burnt the wick at some point and now it just needs to be replaced/cleaned (or the coil was screwed up from the start). If you don't have any replacement coils I suggest you order some now so that you have back-ups. Also, just a tip, but you can buy Kanger T2 coils for less than ½ the price of the Triton replacement coils (they will work perfectly on the Triton).
Feel free to PM me if you have any other questions, and I will do my best to answer them.