Since it has no rails or mounting cuts there is very little in the name of mounts that won't require drilling holes, slide milling, or other significant gunsmithing. No experience with this myself but it might work, replaces the grips: opticsplanet.com/aimtech-black-scope-mount-for-colt-government-45-apm7.html

Rick, You would have to machine or drill and tap slide to mount optics on this firearm. The custom work would cost as much or more then the firearm.

Rick, AimTech used to make "Grip Panel" based Scope mounts for the 1911 and may still do. I would take a look here : https://picclick.com/Aimtech-APM-7-Colt-1911-style-scope-mount-handgun-283098582545.html

There really isn't one that fits due to nowhere to mount one.