Thanks for the pointer...that worked! I created a Sub that includes the
following code:

       Dim psi As New ProcessStartInfo()
       With psi
         .Verb = "print"
         .WindowStyle = ProcessWindowStyle.Hidden
         .CreateNoWindow = True
         .FileName = sFileName
         .UseShellExecute = True
       End With
       Process.Start(psi)

Now, the only thing keeping this from being a perfect solution for me
is that it ends up opening up an instance of Acrobat reader (NOTE: I am
printing PDFs) which is then minimized in the taskbar. This is not a
terrible thing, mind you, but I would prefer if it weren't there. Is
there a way to eliminate this? I tried using the CreateNoWindow
parameter (see above), but that didn't do it.