SQL Server 2014 and 2016, standard edition:
How do I get sqllogship.exe to use built in sql server encryption when backing up and restoring log? (as part of minute to minute log shipping)
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No way to do this natively through the log shipping GUI or command line with logship.exe
You can roll your own "poor man's log shipping" scenario. Basically all you are doing is backing up, copying, restoring with standby or norecovery and building some alerting.
An older post but an example of what I mean.