It's a gas furnace, so during heating, it will warm the coil enough to kill most if not all microbes that cause VOCs. If this is the problem, the smell will go away.
Run the furnace in heat for a while. At least an half an hour, if you can stand it for more, then that would be better. (up to an hour or more) You can open windows to help keep it a bit cooler.
If the smell persists, then it's not DSS.
PS. I actually didn't think that install was so terrible. Could it be better? Definitely. But the ductwork is sealed, things more or less supported, with almost enough room to work on the front. (at least the flex gas connector doesn't penetrate the case) I would definitely add more supports though. That coil might be installed opposite to flow though. The arrow points in the wrong direction. Shouldn't effect it too much, and was probably done to allow easy access to the front panel that's removable. (before the mastic and tape)
Cheers!