(Verdammte page deleted my last post!)
The "DAK anthem" was "Unser Rommel," or "Vorwärts mit unserem Rommel" also known by the first line "Wir sind das Deutsches Afrikakorps." Curiously even after Rommel left the men of Armeegruppe Afrika sang it, even those not under Rommel's command, so that gives an idea of how much Rommel symbolised the German effort in Africa. "Panzer rollen in Afrika vor" is a different song and "hei Safari" another.
I don't have a good reference for the lyrics, but the songs are available (free) from the New Swabian Archives:
http://nsl-archiv.com/Tontraeger/Musik/Bis-1945/
heil.php
(The page is a great resource, but you will need the search button on your browser - it is long!)
The song doesn't cover expectation of the "African" stereotype, rather the "Afrikaner." (Excuse the word play - Rommel and his staff referred to the men as "Rommel's Afrikaners."

The song presents a propaganda image: the fiercest troops overcoming the heat and thirst and outnumbered on all sides - and there's a snide little remark which I can't quite make out on my version but is along the lines of "even Churchill and Roosevelt think we're the best." In a sense the song describes the ideal soldier there (Rommel!) and that the new recruit will turn into a "model Rommel" like the rest of the army.
I hope this helps! You may find something on the AANA page:
www.afrikakorps.org