Hi Keith,
What you can do is add an DIV around the zone with the two repeaters and an DIV around each repeater and then make the DIV around the zone invisible with jQuery.
Set Hide if no records found property to true on the two repeaters.
Her is an example of the jQuery and HTML you need to add:
<script>
$('.ZoneContainer').not($('.RepeaterClass').parent()).hide();
</script>
<div class="ZoneContainer">
<div class="RepeaterClass"><!-- Your first repeater --></div>
<div class="RepeaterClass"><!-- Your second repeater --></div>
</div>
Hopefully you will succeed, if not please let me known if I can help.
If this answer helped you, please vote for my answer :-)