I saw in some installations home-written SQL scripts that mimic SQL transaction log shipping. If you google, you will get plethora of resources. I.e. how to achieve t-log shipping with T-SQL scripts. For example: LINK
It all boils down to backing up your SOURCE server to shared folder where your TARGET servers have access and the TARGET servers restore these backups from the share.
Please bear in mind you cannot schedule this behaviour with SQL server agent in SQL express (as SQL express does not have SQL agent), you'll need to use OS scheduler for backup and restore.