Im sure they have finishing moves similar to those already.
Wait... different effects based on which hand you use? What if i want to block and play as a lefty?
Unless you mod it, you can't, unfortunately. At least the options are there. With a one handed weapon, you can use one handed parry, hand to hand, another weapon, a shield, a staff, or a torch. Plenty of options to be going on with, imho.
And if hand to hand still does stamina damage, then sword and fist or claw definitely sounds like a viable style.