Here is a thought...
"It is not difficult to wield a sword in one hand; the Way to learn this is to train with two long swords, one in each hand. It will seem difficult at first, but everything is difficult at first. Bows are difficult to draw, halberds are difficult to wield; as you become accustomed to the bow so your pull will become stronger. When you become used to wielding the long sword, you will gain the power of the Way and wield the sword well."
In short, do away with a 'weak' side.
Learn to shoot with either.
"The government has confiscated all of our rights and is selling them back to us in the form of permits."