There's a 24-hour webcam posting previous 24 hour shots at 10-minute intervals, located on the Ekström ice shelf, drifting but currently at
S70°38′42″, W8°15′51″.
https://www.awi.de/en/expedition/stations/neumayer-station-iii.htmlAccording to Stellarium, that location will not experience a sunset until January 25th. The camera is static so you can't watch the sun move around 360 degrees, but you could check it daily to see if it enters twilight.
January 12th