As far as I know there is not a window (within the standard Mach screens) that shows the design. Although, someone may have produced a special screen set which incorporates a compiled GCode simulation of the design but I am not aware of anything.
Within Mach3, Config / System Hotkeys Setup - click on Z++ then press the page up key, click on Z-- then press the page down key (these come up as scan codes 33 & 34 on my machine). If that does not solve the problem then I will have to put in some more thought

Tweakie.
Addition...
I may be misunderstanding exactly what you mean by 'design' the Mach display window will show the intended toolpath as well as the current tool position so in the case of a profile then the full outline should be shown in the screen.