You can check itemid to show the map. Modify template file index.php:
<?php if (JRequest::getVar('option') == 'com_contact' && $this->params->get('map')) : ?>
to
<?php if ((JRequest::getVar('option') == 'com_contact' || JRequest::getVar('Itemid') ==120) && $this->params->get('map')) : ?>
<?php if(JRequest::getVar('option') == 'com_contact') : ?>
to
<?php if(JRequest::getVar('option') == 'com_contact' || JRequest::getVar('Itemid') ==120) : ?>
joomfreak