It's very important to recognize that owning a property in the US does not provide any residence benefits. When entering the US, the burden of proof of having non-immigrant intent always falls on the visitor. I suggest to also speak to an US immigration attorney who will help clarify what documents you need to enter the US to prove non-immigrant intent. Everyone who applies to enter the US (presents themselves to US CBP officer) is checked to see whether he or she is inadmissible. US immigration attorney will also explain what one must do to ensure he or she are admissible at all times.
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