This is from the perspective of a northern hemisphere observer looking for objects that are (mostly) not already on the list, but will be visible there:
Since you will be a few degrees south of the equator, you might be able to catch the Small Magellanic Cloud in the pre-dawn hours, along with 47 Tucanae. They should reach about 20+ degrees. Pavo globular NGC 6752 will be at about 35 degrees in the middle of the night. There are quite a few globulars that should be bright but are below the horizon here.
There are likely some southern galaxies worth catching in the early morning hours. One that comes to mind is IC 5152 in Indus. While it isn't overly bright, it is a Local Group member that is too far south to see from up here--it will just barely clear the horizon where I am now. It should reach 40+ degrees down there. It might be a bit of a challenge to see much of it with the 5" since it is just brighter than 11 mag.
In the early evening there will be Centaurus A galaxy which should be spectacular. There is also the near edge on NGC 4945 in Centaurus and NGC 5102 (iota's Ghost). NGC 6744, an 8+ mag spiral galaxy in Pavo, will also reach over 30 degrees around midnight.
Sculptor has some fine galaxies for the pre-dawn hours, NGC 300, NGC 55, NGC 7793 and of course, NGC 253 (the Silver Dollar galaxy). There is also the impressive globular NGC 288 near NGC 253. These objects are pretty low up here.
And of course, you should catch Eta Carina early because it will be getting low.