I know this is more of an "Advanced Installer" question, and less of a "Lansweeper" issue, but I'm playing with it now.
It seems for Schedule Tasks, you need the Enterprise edition? You were able to create an MSI with LSPush, and Schedule Tasks, with the freeware?
If Lansweeper devs see these posts, this is really something that should be baseline in Lansweeper. You should be able to "install" an agent on a remote machine, and have it scanned when you wish. Not have to worry about pushing out LSPush through whatever method, set up tasks, upgrades, etc.