[pjnz]

It's a longshot, but don't forget to apply for the DV lottery. Due to the unusual structure of the program NZ citizens have a higher chance of winning. Short of marriage it's by far the best visa, since it's a green card (permanent residence), not a work visa.

[cyberax]

You will likely lose your green card if you stay out of the US for more than 6 months. So it's not a good solution for occasional stays.

[Aperocky]

> come in for a few years, work, pay tax, and leave.

This option would also tie OP to pay tax forever and wherever.

[EVa5I7bHFq9mnYK]

DV lottery is for the GreenCard, not for citizenship. You can return your Green card at any time and stop paying taxes.