Extruding Curved Polygons

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Hello Autodesk Community and Staff,
In working on a modeling project for 3D printing, I’ve noticed a few interrelated roadblocks in my use of Fusion 360, and was wondering if you might have any insights.
Arcs, or even arcs combined with lines that should make a closed shape, aren’t defined as planes or panels, and thus can’t be extruded. As an example, see the highlighted quadrilateral comprised of arcs, which I was hoping to extrude:
In attempting to create the quadrilateral mentioned above, especially in 3d sketching, sketch select doesn’t always seem to lock onto sketch points. Maybe some of this trouble is caused by the fact that it's hard to interact with sketch objects related to a different sketch plane than the one currently being worked on and that working on a single sketch plane often makes it difficult to work seamlessly in three dimensions.
While it certainly is possible to approximate rounded shapes with flat panels (through, for example, creating planes through two edges and building rectangles off of those) I was wondering if anyone knew a way to create curved surfaces such as the above, or if there’s a way this might be edited into the next version or patch of Fusion 360, for the sake of future projects?
As a side note, when many lines are sketched at once, and a shape is extruded from one part of this collection, the rest of the lines can no longer be accessed as far as I can tell--remedying this might well make for faster workflow in sketching.
Thank you so much for your time and concern,
An autodesk CAD student