At the "General Options"-page of podPress as part of the "Post Content"-options is an option which is called "Before <!- More -> tag:".
It seems to me that this option should do exactly what you are looking for. But it works only for the option "yes" as described. The option "no" hides the player at the single post pages, too (at least in my test blogs).
I'm going to create a proposition for patch, tomorrow.
A solution might be:
podpress_class.php line 673 (podPress v8.8.4)
old:
if($this->settings['contentBeforeMore'] == 'no') {
return $content;
}
new:
if($this->settings['contentBeforeMore'] == 'no') {
if (is_home() or is_archive()) {
return $content;
}
}