Order/Sorting of Iterate Field Values (ModelBuilder)

I am using Iterate Field Values to Iterate my Model through a list of Strings (DBF-File). However, the Field Values-Iterator will always sort my Field by alphabet (ascending). It does not matter how the rows in the *.dbf are ordered.

Is it possible to run the model using a different sorting method?

Example of dbf-file:

house
mill
water
tree
cafe
garden

.. will run as

cafe  
garden  
house
mill
tree
water

I would like to run the Model by the first sequence of strings, not the second one. Is this possible? I tried adding a second column with numbers from 1 up to x, but the Iterator ignores this field.

Thanks for any hints!