PHP has an function that can keep an process running even if the user that requested the page leaves the page : ignore_user_abort if you check the comments there you can see this example :
<?php
ignore_user_abort(1); // run script in background
set_time_limit(0); // run script forever
$interval=60*15; // do every 15 minutes...
do{
// add the script that has to be ran every 15 minutes here
// ...
sleep($interval); // wait 15 minutes
}while(true);
?>
It IS an pure php cron job BUT, the risk with this script is that it continues indefinitely or atleast untill you reset/kill php.
Setting the set_time_limit(0);
to set_time_limit(86400);
would kill the script after an day.
This should point you in the right direction/.
IMPORTANT
After the problem by the OP, it is advisable to only run this script if you have SSH access to the server so you can KILL/RESTART php apache in case the server keeps hanging.
Also do not run the script on a LIVE server.