Thank you for your post.
At this time, after tapping "Enter Find Mode" in FileMaker Go and entering find criteria, you cannot hide the number of records found dialog. Our Development and Software Quality Assurance (Testing) departments are aware of this issue.
As a workaround, create a script with the following script steps:
Enter Find Mode [ Pause ]
Perform Find 
Attach this script to a button, and then when you want to Enter Find Mode, tap the button. This will find the record and not display the dialog box with the number of records found.