Transistor grounding at switch, POP question

[GibsonGM]

Hey guys,

I built an AMZ splitter box with 3 outputs.  I'm using a DPDT to ground the "B" and "C" (ground at the common lugs), and the other side does the "A"...the unused lug to ground I have connected to an inverted transistor configuration to fire up an LED when the "A" is engaged - it grounds the base when "B + C" are on, killing the LED, and un-grounds it when "A" is on, allowing current flow.  (Didn't want to buy a 3PDT....). 

Problem: Because the transistor is connected to the switch, I get an audible big switch pop.  I know it's from DC floating around out there.  Any solutions?  This method SHOULD work, I've done it before w/no problems, but I need to block the DC or something.  Maybe a 1M to ground, but where??
Thanks!
~Mike

[GibsonGM]

Update: it's not the switch or BJT thing, there is still DC on the output when disconnected, so it's somewhere else!