Cabin air and heat controls inop?

Neither of those controls would do anything for canopy icing. Depending on the aircraft you’re flying, it may not be equipped for flight into icing conditions (152, 172, bunch of others). In planes that have deice capability, you’ll see some deice controls (e.g. C-208).
You can set the icing to just be visual and not affect the flight characteristics, but if you’ve got the icing affect set to realistic (in the options), you will have flight problems if you ice up.
Regards