The very idea of 'property' is made-up. It gets reinvented every time someone thinks of it for the first time. It's neither right nor wrong, it's just popular. And it's no more fundamental than that other word that you so despise: community. Yet you choose to worship one and reject the other.
I think you have greatly misunderstood AnCap. Property and community are the most fundamental parts of nature. When a wolf catches a rabbit, that rabbit is now the wolf's property. When that wolf chooses to take that rabbit back to his pack, he is sharing it with his community. AnCap can't deny property or community any more than nature can.
When you respect other people in accordance with your An-Cap rulebook, there seems to be no way to distinguish between "other individuals" and "atomic members of some community", and thus you are forced to respect both.
Why is this an issue with AnCap? An AnCap society will likely have very many communities. They'll just be voluntary.
Regardless if you have state governments or republic representation, it is still and government and they historically have required taxes for certain basic services. Up to this point, AnCap advocates can not handle having a "required" tax. That has been the real hangup. They somehow think this come into this world with no required claims to them. Honestly I think that notion is ridiculous. Look, I want to pay a small a tax that is reasonable but the thought of none at all is just odd and I am quite sure I would see a decline of service.
As I said, I'm agreeing with you that we come into this world with some claims on us. We have a debt to society by the virtue of us being safely born in that society which provided for us. But how much is that debt actually worth? $100,000? $1,000,000? If it is a debt, there should be some determined amount that we can pay off. If it is just some nebulous, infinite debt, then that's no longer a debt or a claim. It's indentured servitude for the entirety of one's life. Even indentured servants had a specific amount they owed which they could pay off and be free. And regarding taxes, why
should they be required? What is it that we MUST be forced to buy and pay for? Why can't someone simply choose not to use any government services or protections, and not have to pay for anything? (Of if they have a debt to society, why can't they pay it off?)
Homesteading is over with, all land has claim so it is pointless to talk about that in current days. If we are going to discuss proposals, they should have a realistic path to be implemented. AnCap has not such path at this time other than a violent revolution, we would be against a large portion of their core beliefs.
Not all land has been claimed. Not all seas have been claimed (look up seasteading). And weak governments fall apart all the time, opening up access to previously public or contested lands. The most realistic path, though, is also the most probable and inevitable: technology is making governments get weaker and slowly lose power to collect taxes and enforce regulations (Bitcoin is an obvious example), and globalization is eroding arbitrarily established national borders, with their own dispersed and wildly irregular legal structures, and is replacing them with economic zones and privately agreed-on global laws. This has been happening for over a decade already, so the discussion about AnCap is really more about how to speed it up and be ready for it - i.e. what will the world be like, hypothetically - rather than just wishing about fantasies.