you are going to have to roll out your own log shipping system
it's not that difficult - but i'm guessing many other people will have better solutions
create a table on your target server called "received_files" - then create a file watcher service that looks at the location of the files that get delivered to you
(instructions here) https://www.codeproject.com/articles/18521/how-to-implement-a-simple-filewatcher-windows-serv
when the file watcher sees a new file, add it to your"received_files" table
next create a sql_agent job that loops through all received files (from the table) and performes the appropriate RESTORE LOG WITH NORECOVERY command
The most difficult bit will be verifying that the restore worked correctly and occasionally if it's a large log file you might try and restore it before it is fully downloaded... so put a timestamp and a status on the received_files table and then fiddle with the settings