Will she eat veg that are stir-fried in butter or some kind of fat, or slightly roasted with some kind of fat? That's my favorite way to eat them, especially since they get salty from the bacon grease/butter.
Someone on another forum I go to said they are cutting back on their cheese consumption by having "Cheeseless Mondays". That seems like a low-pressure way to cut back on consumption without feeling "deprived". It might be easier to handle an overall cut-back on intake by picking specific days or meals that there will be no cheese. Or is it a snacking thing?