I don't think I could ever successfully cut with my non-dominant hand. For one thing, I am very dominantly handed. For another, it's not that easy for me to cut accurately even with my best hand!
I also recommend getting a die cutter. It's an investment, but it's an investment that will pay off for you in better health. Although more expensive than the hand crank, I would invest in Accuquilt's new electric dye cutter. There is a Yahoo group for Accuquilt users and everyone who has posted there who had the hand crank and then purchased the electric said the electric is worth every penny.
I recommend purchasing Accuquilt dies only as you need them. Decide on your next quilt, purchase the dies for it, and don't purchase again until you have made a decision about your next quilt. It's easy to go overboard on purchasing dies and then have them sit unused for a long time. (Do not ask me how I know this!)
Here's a link to the Accuquilt die cutter I am talking about
:
http://www.accuquilt.com/shop/go-big...arter-set.html
Chances are fair that it will go on sale sometime around Black Friday.