Matt, are you looking for more of Smart Search look and feel of the data instead of the UniGrid filtering?
If so, you could could select the field in the form for indexing (Search fields tab of the Form), then go to Smart Search app to create a index as "Online form" type.
Then you can create template or add the user control to the existing Recorded Data page (/CMSModules/BizForms/Tools/BizForm_Edit_Data.aspx) using a customized version of "Smart search dialog with result" web part (/CMSModules/SmartSearch/Controls/SearchDialog.ascx)with these two lines commented out because there is no CurrentDocument for a UI page
// Log "internal search" activity
//Activity internalSearch = new ActivityInternalSearch(txtSearchFor.Text, DocumentContext.CurrentDocument, AnalyticsContext.ActivityEnvironmentVariables);
The hard part would be depending how many forms as you either have to create index for each separately or combine into a single index. And dynamically filter result depending on the form you are on and apply the correct transformation.
Example of a form search result transformation:
<li><%# GetSearchValue("UserFirstName") %> <%# GetSearchValue("UserLastName") %> - <%# GetSearchValue("UserEmail") %></li>