Currently the after scanning deployment does not work with LsPush. In order to use the after scanning deployment schedule, you will have to use an agentless scan. I would recommend using an Active Directory Domain scanning target as this will be quickest way of scanning assets once they are online.
Additionally, you can modify the Active Directory Domain scanning options to reduce the check interval. This will cause Lansweeper to check your domain controllers more often and as a result, see newly logged on assets quicker.