I think it is rather difficult to get away from the magic vs. technology contrast within the confines of Western storytelling. Feel free to call me a crazy person who reads too much into things, but I find that line is drawn by the way we draw the line between ourself and nature.
In the traditional way of thinking, there is the natural world which obeys rules. Rules like gravity, and conservation of energy. Man is born into this world, as an entity not fully bound by these rules. Thus we are a "self" that can cause things to occur.
By how we depict technology, technology is always bound to the world of natural law. When we write about technology, we write about how the natural laws can be manipulated to magnify our will. For example, consider the gun. The behavior of a gun is typically describe with respect to the laws of physics governing the metal or the explosive. Little attention is drawn to the finger that pulls the trigger. That act is unimportant until one starts considering the ethical implications. The gun will fire the same whether the trigger is pulled by a good guy, a bad guy, a toddler, or get caught on someone's trousers as it is drawn.
Contrast that with how we depict magic. Magic always consists of entities imposing their will above and beyond the natural laws. This is most visible in stories of subtle magic, like the Alynn the Scientific Mage series. But even in the series which codify magic like it was part of a MMORPG, we see the sense that there is some essence which is causing the world to shift from what the natural law would call for. It's outside of nature, or perhaps simply more real than nature, but no matter what we find there's some superlative that captures the idea of causes above and beyond the rules. Even if the magic springs from nature herself, some willful entity like Gaia always waits in the wings, waiting to be addressed.
If we phrase it this way, we see that technology focuses on what the world can do for us, while magic focuses on what we can impart on the world. Now from a practical perspective, every action we do is a blur between these extremes. It's somewhere between pure technology and pure will/magic.
To break free of this viewpoint would require breaking free from the Western obsession of us versus the world. It involves considering alternative viewpoints. Its a challenge to write a book with an alternative viewpoint. It's even harder to sell it to readers. So we generally see books elect to fall along the traditional axis of magic and technology.
What might it look like if we broke free. You mentioned one answer in your question: yin and yang. Yin and yang are polar opposites, but never stagnant. This is very popular in Eastern thinking. If you consider the map between nature and the self to be continuous and flowing, you might find the idea of yin and yang comfortable there.
But yin and yang are not things as much as they are a pattern. When martial artists and philosophers look at the world through the lens of yin and yang, they find it everywhere, from the high Emperor to the lowly rock.
Indeed, if you consider flowing non-static patterns like yin and yang, there are many alternatives. One of my personal favorites to explore is the Wu Xing, the 5 elements. This was a pattern that Chinese philosophers found effective for describing much of what happens on Earth.
What's fun about these non-static patterns is that they don't have to be the same thing twice. You can decide on one round that "Fire" represents the force of magic on the world. On the next round, fire isn't obliged to fit with magic. Maybe it's metal that embraces magic that round. Maybe water picks up elements of technology.
So I'd say the best solutions for you would be to look at these non-static patterns to avoid getting hung up on the sterotypical static patterns like magic vs. technology. However, if you do look at the static patterns, its worth noting that magic vs. technology can be tied deep into our understanding of Self. That makes it difficult to develop a book which explores alternatives unless that book also unseats our understanding of Self. Books like Illusions by Richard Bach seek to do this. But if you're not seeking that, it will be hard to find static patterns that avoid this common trope.
And remember: Any sufficiently advanced technology is indistinguishable from magic.