The plastic bags that supermarkets put groceries in can be cut into 2" wide circles that form gentle cradles or supports for tomato vines, though you need some string to pull the ends of the loop up to some higher support.
I like your idea of cutting on a spiral, to get a longer strip and eliminate the need for string.
These plastic strips are glare-white, which might be ugly, but they do reflect light back onto the leaves. And you need to pull them out of the vines before composting.