You don't have to follow the Wiccan path if you don't want to. That's just one branch of witchcraft. And, you can indeed construct your own brand of witchcraft according to your own beliefs and preferences. There's no need to label yourself at all.
However, there are many other traditions to pick and choose from if you wanted to do so: Ancestral, Angel, Animist, Celtic, British Traditional (covers a vast range of regional practices), Ceremonial, Chaos and so on. I'm currently putting together a long list of as many threads as I can find.
Wicca is relatively modern, as you know, and there are many aspects of it which are fluid and beautiful. However, certain Wiccan communities have made it as dogmatic and dull as any organized religion. Any new witch must decide for her or himself what feels right for them. There is no right or wrong way to go about things. If you want to cast circles, then do so. If they feel like hocus pocus nonsense, then don't. There's no must or should in your practice.
For further reading, I suggest Jeffrey B. Russell's "A New History of Witchcraft."