In case you need actual code references to your boss This falls under Part 8 of ASME
A building owner’s maintenance staff would be considered Group 2 :Authorized Personnel
As group 2, you are allowed access to Group 2, 3 and 4 devices.
Independent Service is considered group 4 , so you could use it, but as others have said, it would still allow others to use the elevator. So not the best option.
As others have mentioned , the keyed Run/Stop switch, however that is considered group 1 and you should not be using it. While I don't agree with this, its how the code reads and any lawsuit would result in you being seen operating in a group you’re not allowed to. Likelyihood of an issue is rare but why risk it, I doubt your paid enough to be personally liable in a lawsuit.
As others have mentions, and in my opinion you best method. you are allowed machine room/control room access, and therefore have access to the disconnect, this would not allow anyone to operated the elevator and makes it the safest. If you can not see the elevator from eh machine/control room, have a second person keep eyes on it, make sure the door closes with nobody in it and power it down. Ideally you would use lock out tag out procedure, but if not avioble to you, place a note on the disconnect so nobody turns it on and the elevator crew knows why you turned it off.
Another option would be your group 3 keys for fireman’s service, place the in car fireman’s switch to “HOLD” and it will not allow the use of the car, however the disconnect in my opinion is the best method.