In the article, Rothbard mentions something like "Suppose I have my own bank" instead of the federal reserve. We had an initiative that was ruled unconstitutional that would have had the Southeast using its own currency. As long as the region has to operate using federal reserve notes, I'm not sure we could eliminate FRB without putting us at a disadvantage compared to other regions.
I do have a contact that's an economics professor at Loyola. I'm tempted to ask him what he thinks would happen if this were done.
I suspect that economist would agree that fractional reserve banking is bad
http://www.lewrockwell.com/block/block110.html
http://www.lewrockwell.com/block/block111.html
I have no doubt FRC is bad or that Dr. Block would say it's bad. What would happen if only banks in one state could not use FRC while the others could. Not to mention if anything bad happens to the banks as a result of it, the federal government would just bail them out anyway. If we are going to end FRC, it would have to be done at the federal rather than regional level.