Orion would actually be quite difficult to view from Antarctica. During summer, you won't be able to observe it at all, as pretty much the entire continent is within the Antarctic circle so you'll be getting the midnight sun around the solstice and the sky will never be fully dark basically for several weeks either side of it.
For around 70-80S the best times for Orion are around August-Sept and March-April when Orion is in the morning or evening sky respectively but with the sun far enough north to avoid the all-night twilight. However, even then it will only be visible for a short time (about 3-4 hours) before morning twilight or after evening twilight ends. Because Orion is best seen during those months when the sun is south of the celestial Equator, you'll always have a fairly limited viewing opportunity when compared to lower latitudes.
At the south pole, the best times would be in the winter months but you'll only ever see half of him
