The following AOVs are available for the Toon shader.
Stylized Highlight AOV
Stylized highlight AOV.
Rim Light AOV
Rim light AOV.
To save the beauty render (without edges) and edges separately, you must create an RGBA AOV (beauty) and a Custom AOV (edges). Use a box_filter for the RGBA AOV (because the Contour Filter uses box_filter internally) and a Contour Filter for the edges Custom AOV. This enables you to render two separate images simultaneously, which also saves the overall rendering time.
This scene shows how to specify the 'edges' Custom AOV using the contour filter.