Kerguelen sounds plausible. Another of the TAAF entities. The Encyclopedia Britannica says it is supplied by ship four times a year, with room for a small number of tourists at 9000 Euros each, though it probably is really for getting the scientists on and off the island. It did not say how long the supply ship docked. Presumably, other ships might arrive as well, though it is not in nice seas (the same as Bouvet in the end).
It is at 49 degrees 15 minutes south, plus or minus, which may well make the journey harrowing, but the island seems relatively large (the main one is almost 2800 square miles versus Bouvet at 19 square miles). Bouvet, for reference, is at about 54 degrees 30 minutes south.
There is a small, permanent population of scientists. Maybe Thierry can work his magic again? Or, are conditions there so stark as to require something more robust? Temps peak at around 12 degrees C (53 degrees F) in the summer (November to April).
Finding a place to set up may be the biggest issue.
Here's a rather too optimistic "tourist brochure" for the place:
https://en.wikivoyage.org/wiki/KerguelenExperienced travelers reading this will see this is for not-very-normal tourists who are doing some kind of "let's go everywhere on earth" kind of trip. There are a few rich trust fund babies that do that sort of thing, I suppose.
There is, at least, no reference I can find that suggests the entire island is some sort of nature preserve, but this is the TAAF, and no doubt some sort of permissions are required in 2023.