If you are a skier, you might just get spring conditions in NZ. Infrastructure is adequate although far from luxurious (I'm not even thinking Dear Valley, Aspen, Vail, Park City).
If you are not a skier, chose your season for NZ and remember that country does not have the puritanical hang-ups of the US when it comes to sex.
And with adequate cash, I'd probably do 1 and 2, suitably spaced for recovery.
As for option 3, somehow I don't see it as a stand-alone. Not much tactile - and sero olfactory - response from pushing electronic buttons.
Whatever you do, enjoy it.

Chose an exoctic resort and spend 5 days in the sun humping your brains out with two russian or latin beauties!

Been there done that. Prostitution is legal in NZ. Take at least two weeks. Rent a camper van and follow your nose. Get to the glaciers, doubtful sound (you can take an overnight cruise there). More than once I was asked by New Zealanders "don't you have fantastic scenery in the US?" Answer "Yes but it all overrun with people. NZ has a population of 4M mostly concentrated in a few cities. Get your sex in Auckland then travel the North Island and the South Island and have a blast!!!! Best trip of my life. Cost me about 5K that included Doubtful Sound cruise, Heli to glacier and a fair bit of other add ons.