The switch on a
dna mod doesn't pass the voltage, it triggers the mosfet on the board. If you check both poles of your switch when it's not triggered you'll see ~2v, push the switch and it goes to 0 because it's triggering the mosfet on the board and voltage is now going through that. That's why you can use any rating switch on a DNA board, because it doesn't pass line voltage at any point, it doesn't have to be rated.
The only place I can see you putting an LED would be on the atty line but that's going to have it's own set of issues, namely the fact that it's not a constant voltage and it'd effect the readings the board gets when it checks the resistance of your coil. I think you might be SOL on that one.