You can use all cheats while using a local spring engine in offline mode. Go to the folder of the engine you want to use (for example 91.0 is located in spring/engine/91.0) and run spring.exe.
The engine uses the basic settings as default. If you want to make it use the same settings you have when using Zero-K lobby, copy the stuff you have in your spring base folder, and in your LuaUI folder, there.
Other useful cheats are /godmode which makes you able to control enemy units, and /globalLOS to see everything or /spectator to become a spec.
Good luck!