@eno_lc
I have tested comprehensively the behaviour of the Draco antenna for the past few days. Will write a more complete guide when I have the time.
Meanwhile, I suggest you do manual scan, instead of auto, channel by channel, for 27, 29 and 31. In manual scan, you have visual indication of signal strength as you move the antenna around. The response is pretty slow. Have to be patient.
There is a built-in amplifier but no need to try. It doesn't work (I tested).
If still can't work, you may try with an extension cable. Good luck.
Edit: try SilveR1_09 suggestion first.