Regardless of Giant Sword usage, Mooks are one of the top races for a Samurai, equal to the Felpurr and exceeded only by the Hobbit. I'd say make the Mook anyway, and if you have trouble with stamina drain from the Giant Sword, there's nothing wrong with switching to Bloodlust or Fang (or, if you're lucky / manipulative, a Light Sword or Muramasa Blade). Shield skill is easy to train if it's too late to get your dual-weapons skill up.
Dracons Samurai are as good as Hobbits if you ignore Senses. (i.e don't plan on putting points into it either at creation or level-ups). You'll have to invest more into Close Combat and Critical Strike than you would for a race/plan involving higher Senses, but will be able to max the remaining key Samurai attributes (Str, Int, Dex, Spd) sooner.
The larger the party, the less of an issue the stamina drain of the Giant Sword is. I always play full parties, so it's never a problem for me. The extended reach option you get from the Giant Sword is very handy, not just for striking from behind other party members but also for striking enemies that haven't quite gotten into short-weapon range.
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->Klutz
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