How about a set of risers? Remove the handlebars, mount the risers, then remount the handlebars. They come in various configurations. It sounds like you need the set that comes up an inch and also back an inch.
Here's a link
http://www.bellacorse.com/bcc126.htm
Just go to the web and search "bonneville riser" and you will find all manner of risers.
By the way - I am 5'9" also and know exactly what you mean.