I think this goes a bit deeper.
Now, I'm no expert, but I've yet to see any DIP switches on a controller.
I've seen DIP switches on dimmers and fixtures. But I've also seen digital programming capabilities on fixtures and dimmers as well.
It's good to understand and know about DIP switches.
Now, your dimmer packs are not mentioned. Please share the make/model of the dimmer you're using.
Dimmers such as the AmericanDJ/Elation DP-DMX20L are programmed via a menu driven system. You can set the dimmers to be single channel, 2 channels or 4 channels. It sounds like you need to get a litle deeper and set the number of channels used. It might be something to check.
Also, these might also have dim/switch on a per channel basis. This is what Serra Ava suspects and I think it could be as well based on your description.
Set your parcan channels to dimming and any high-tech FX channels to Switched mode.
Of course, since you're from Little Rock, I'm worried some of your peers might think that "Dip switches" mean scooping from the chewing tobacco with the other hand....