If you haven't signed up the agent yet, why not put a sign up with your own number on it, and see if you can catch the people looking next door?
I would do exactly as Wylie says - (if you havn'e already signed), find out from the web or newspaper ad when they others are having an open inspection, and put out an open for inspection sign out at the same time. You can afford to discount your place by a couple of grand and end up keeping 15 or so for yourself.
I have done this exact thing with a rental property. The unit next door was up for rent at the same time as my place. I saw the open for inspection time on re.com.au. At the same time I put out a 'for rent' sign. I got about 4 times the response than to my newpaper ad (private landlords not allowed to adveretise on re.com.au). Found some great tenants that have been in the property for 2 years, and the advertising (or management) didn't cost me a cent