Interesting question. If your table image (or HUD stats) are reasonably tight I think that the minraise is a good idea since it's unlikely that anybody will try to steal shove over so I think depending on the buyin you should end up with the blinds + antes reasonably often.

With the antes our effective stack is about 11-12x BB so the SNG player in me would just tend to open shove, but I can see how minraising is a better tactic.