Yep, newspaper & titebond glue in about a 50-50 mix with water should work OK for some fairing of the curves. Just make sure that whatever you use is compatible with the finish covering you will use. You can cut strips at whatever width you need, soak in a trough & just lay it on with a brush or roller. Good old Elmer's glue all might work just as well & be a bit cheaper. I wouldn't use a traditional mix with white flour & water, but whole wheat might be OK in today's PC world.......
Not sure about sanding the glue surface & paper once it's dry, might be a real booger to get it right if it's too lumpy. Bondo might be OK to use as well, but not sure about it with the foam & chemistry, plus it can crack where the paper wouldn't. The smoother you get the foam initially, the better it will finish whatever you decide to use for the filler. A sure-form would leave fairly small voids to fill for a surface if the foam is set hard enough. Best of luck!