What OS is your server? You may be able to set up a simple system script that moves the backup files to a folder with a consistent name or that renames this folder to something consistent after it is created.
On my Windows Servers, I use a fairly simple VBScript to copy files from the back up folder to a remote location. It uses the system date to calculate the ever changing file path to the backup files to do so. It could be fairly easily adapted to serve this need if it is compatible with your OS.