Sounds like a Stuxy TLA hit
If you already have the domain admin credentials why would you need this piece of temporary, only works until the next reboot malware?
I don't understand where the problem even is.
You want to have someone (who is not you) who has the domain admin credentials install this little baby on behalf of you. Maybe using an USB stick.
Whether it remains in memory due to inability to write on disk or to stay undetected I don't know. But are DCs rebooted often?