With your layout, I gather that you can't just use the QuickFind control in the status area?
Define a global text field, gQuickFindText and use it like this in your script:
Perform Quick Find [YourTable::gQuickFindText]
You can either add a button next to this text field to perform the Quick find or you can set a script trigger on the global field to perfom the find OnObjectSave.
If you are always searching on Criteria that does not have to be entered by the user, the parameter for this script step is a calculation so you can set up any number of different calculations to produce the data to be used in the Quick Find.