I had a few weeks in Alice Springs over Christmas. Even though it was boiling hot I loved it. The reptile park is great. Small but with a suprising amount of variety. The Alice Springs locale mulga is amazing. And I got to hold one of their olives. The downside is I wanted to take some of them home, especially the cute little death adder that was just chilling out. They should be able to help you out with rodents or most large suppliers freight to Alice.
The desert park is well worth it as well. The birds of prey show and the nocturnal section is great.
Then there is always sight seeing. Uluru, Kara tjuta, kings canyon all about 4hrs down the road. West Macs are amazing. Ellery big hole, orbison, glen Helen. East macs are also interesting. Olive pink botanical gardens if you are into plants like me, is great. Such a interesting mix of natives.
Sorry that ended up not really answering your question but I am slightly jealous. I would love to spend some more time there.