I definitely saw the videos of those dreamy Greek hotels with in-room balcony pools and if I were rich I would know their names too. I’m sure that if you contact them you’ll just have to drive to SFO and the rest will be taken care of by them.
Resorts are a specialty for amateurs or a resource for special cases (e.g. a safe environment in unfriendly locations like Egypt or Maldives).
Well you say that because you haven't visited greece ;). It's not the "spa" type of tourism, and those kind of luxuries are usually sought after by spoiled arabian princes. The aspirational SV person would choose one of the many hotels, book trips and food tours around the islands, or hit the beaches and the nightlife. In fact all-inclusive hotels are geared towards pensioners and budget-level UK teenagers.
But it's certainly not possible to do those in 3 days with jetlag.