Seems to be a job for the Audio Profiles Addon.
Looks interesting, will have a play, Thank you
Problem with Audio Profiles Addon is that it seems that it doesn't save settings like Audio Delay and other settings that have to be set from OSD menu..but ...
You can integrate Audio profiles Addon together with Bluetooth Delay for Kodi
Don't get confused with the bluetooth part...you can rename profile "bluetooth" to let's say profile "projector"
Second problem you will face is that apperently audio delay is set as per video type if you set the delay to be your default for that profile,so if you play the same movie on your TV you ll still have the same delay set but..
If you go to post #26 on the link I posted user VIP made a version of the addon that accepts json api commands containing a forced audio delay command...
So that's what your remote command needs to look like..#26
