Nightgarden, why don't you just add paper and cardboard to your compost without burning? It's a good source of carbon and breaks down easily.
I use compost for top dressing, but also add a small amount into the soil I'm planting in e.g. raised beds. It's great for lots of veg
Another tip for anyone who works in an office where they use printer toners, or if you ever replace a toner in a printer at home. The toners are usually packed in "egg box" type of cardboard. It's a great addition to compost.