You need to do some research into writing udev rules. Which file to edit to comment out the part that dynamically creates mount points (that's why the name keeps changing); which file to add custom rules into (/etc/udev/udev.conf for storage devices); how to find the information you will need (info on your system, not the 'net) to construct the rule to make persistent mount points for particular devices, etc.
www.google.com/linux is your friend for this research.
