First, I made the following changes to FAQ/OMatic.pm (located in perl's "site_perl" directory):

Add the following lines to FAQ::OMatic::sendEmail():

if ($FAQ::OMatic::Config::mailCommand =~ m/SMTP/) { FAQ::EmailPatch::sendEmailSmtp($to,$FAQ::OMatic::Config::adminEmail,$subj,$mesg,$xurl);
}

(this has to precede the line, "if ($FAQ::OMatic::Config::mailCommand =~ m/sendmail/)...", which also must be changed to use an "elsif")

Add the following somewhere at the top of the same file:

use FAQ::EmailPatch;

Then I added a module, FAQ::EmailPatch, with contents:
------------------------------------------------
package FAQ::EmailPatch;

use strict;
use Net::SMTP;
# send an email
sub sendEmailSmtp {

  my($to,$from,$subject,$body,$xurl) = @_;
  my $smtp = Net::SMTP->new('<smtp server name>');
  unless ($smtp) {
    die "couldn't send email from sendEmailSmtp";
    return;
  }
  $smtp->mail(<some user address on the smtp server>);
  $smtp->to($to);
  $smtp->data();
  $smtp->datasend("X-URL: $xurl\n");
  $smtp->datasend("From: $from\n");
  $smtp->datasend("To: $to\n");
  $smtp->datasend("Subject: $subject\n");
  $smtp->datasend("\n");
  $smtp->datasend($body);
  $smtp->dataend();
  $smtp->quit;

And lastly, you must edit fom-meta/config to set $mailCommand = 'SMTP';

There are probably better solutions and I don't know if these changes to the code have any ramifications that I overlooked, but this has worked for me so far.