The week-long adventure includes ski lessons, jet boating and gold panning with her mum and Nana. New Zealand's Next Top Model judge Sara Tetro is taking the family to the Audi mountain racing track, where Alea will ride in an Audi S5 with rally driver Timmy Marin.
Doctors initially diagnosed Alea with epilepsy and the cancer was only discovered after her mother demanded more tests.
"I knew they were wrong. I told them I wanted an MRI scan, I knew something wasn't right, that it wasn't epilepsy," Smith says.
"Every mother should listen to their gut feelings."
Although it will be 10 years before doctors can clear Alea of cancer, her prognosis looks positive.
For information about making a donation or helping the foundation, go to makeawish.org.nz.