Matlab 2012b adds exactly what you want: masked blocks have a button on the botton left that is a shortcut to "Look under mask".
Unfortunately, I don't think it is possible to add a button in a mask.
You may want to change your function to automatically set the "Get deeper!" checkbox off after the user clicks on it. That would avoid the automatic opening of the subsystems when the model is loaded. You could do that adding set_param(path,'myParameter','off')
just after the open_system(path,'tab');
Finally, as another workaround, you may want to set the OpenFcn
callback to call open_system(gcb,'tab')
. This will make the system work as if it isn't masked at all. You can put two open_system
calls, one to look under mask and the other to open the mask dialog box, if you prefer.