I wonder if, instead of erase the history, you could prevent it from ever being written. Maybe there's a registry hack or TweakUI mod to set the history to 0 days. Or, in my "big guns" style, modify the Access Control List on the history directories to deny permissions to everyone, including yourself and SYSTEM.
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FireFox31
110gig MKIIa (30+80), Eutronix lights, 32 meg stacked RAM, Filener orange gel lens, Greenlights Lit Buttons green set