SQL Server - Log Shipping Into an AlwaysOn Availability Group
The database on the end of log shipping has to be in NORECOVERY to accept the log backups being shipped over. A database involved in AlwaysOn Availability Group has to be removed from the group in order to be restored or set to any restoring state. So setting up log shipping to that database would require it to no longer being replicated.

I would go back to the stockholders and determine their full needs for HA as it seems they left stuff out of their initial request.