So. This is one implimentation of the concept, but there are many improvements that could be made. Here are two ideas for your own experiments:
Change the button to something more appealing. A 'find' icon of some sort would be nicer than some ugly text screwing up your layout.
Try setting the behavior to trigger without clicking on anything. You could pretty easily set the keyup event to trigger off the select element itself instead of forcing a click beforehand.