How to convert VB/VBA code from "IE.document.parentWindow.executeScript()" to "eval()"

My team is working on a project creating "custom voice commands" for a 3rd party speech recognition product, and that product includes support for Microsoft Word via VBA.  The custom commands we are working to create are for controlling a web app in the browser, setting focus to various elements, typing text, etc.. and we have proven the approach of using "execScript()" under IE9 to execute jQuery, and it works flawlessly.  However, with the impending push of IE11 within our organization, and the removal of the "execScript()" functionality beginning in IE11, we are seeking examples of exactly how to convert our code from "execScript()" to "eval()". 

Here is an example;

Sub FocusFrame()
   On Error GoTo ErrMsg

   Dim SWs As SHDocVw.ShellWindows
   Dim vIE As SHDocVw.InternetExplorer
   Dim ipv_website_name As String

   Set SWs = New SHDocVw.ShellWindows
   ipv_website_name = "https://www.ourdevsite.org/ipv/ipv.jsp?ipvx_complete=yes"

   Dim arrSite
   arrSite = Split(ipv_website_name, "?")
   ipv_website_name = arrSite(0)

   For Each vIE In SWs
      If LCase(Left(vIE.LocationName, Len(ipv_website_name))) = LCase(ipv_website_name) Then
         Dim strScript As String
         strScript = "jQuery(""iframe[id*='ui-id-'][style*='block']"").contents().find(""iframe#params"").focus();"
         Call vIE.document.parentWindow.execScript(strScript, "javascript")
      End If
   Next

   GoTo Cleanup

ErrMsg:

   MsgBox Err.Description

Cleanup:

   Set SWs = Nothing

End Sub

What we are asking for is a good example of how to convert this line such that it will use "Eval()" under IE 11 and accomplish the exact same functionality;

         Call vIE.document.parentWindow.execScript(strScript, "javascript")

to

         Call <?what goes here?>.Eval(strScript)

Thank you very much, in advance!