Verify remote pc is on domain via script

I work in a large office that has several “temp” workstations. The problem is out AD policy is set to remove a workstation that hasn’t been logged in at least once every 30 days. Aside from loging into every machine at least once every 30 days I would like to run some type of batch file or script that will do 2 things.

1) Ensure the machine is up and running (like a ping)
2) Ensure that the machine is still a member of the domain and can be logged into.

Any and all suggestions are appreciated.