I don't think the wooden version of the so-called toolmakers' clamps in the above link would be very useful.
I drill a small hole into the bottom of models and tap it for machine screws. For a small model M2 would be sufficient, for bigger ones I use M3. The model is then screwed with a counter-sunk screw on a small piece of wood that is a bit larger than the model. This gives a handle and protects the model.
I also mounted a holder like this one:
onto a small cast-iron base. With this the model is raised about 5 cm above the work surface and can be moved about without any fear to tip it over. I am not showing pictures, as the device is made from salvaged parts and not readily available. A simple aluminium or steel disk would also do. The holder is a so-called 'movement holder' from the watch repair trade. They can be cheaply obtain via ebay from East Asian sources.
wefalck