On these types of windows (Pella storms) I pull all the panels off, clean the main windows and then the individual (removed) panels. I then go off to do a few other windows before returning to re-assemble the storms. I also make sure there is no water at all around the rubber gasket. And I look at the vent holes on the main windows to make sure they are not plugged up.
As others have said, even if you do get some fogging, it usually disappears in a day; never had a call back for prolonged fogging.