I have Sunlight version thats similar and I did have issues with it working because my handlebars were too low and so the basket ended up sitting on my front wheel. Its hard to tell exactly how that basket mounting bracket works, but I wasn't an overall fan of the one I have but I could have probably improved it. My wife had one too, but she didn't like the weight on the front of the bike and wanted a rear basket instead. Anyway 2 of them have just been sitting around for months because they didn't fit our needs. They might be just what you need though. If you do get one of these baskets that releases with the wire handle lifting up find something to keep the handle from flipping up and the basket flying off which happened a few times on my wife's bike. My easy solution was a large binder clip to keep in in place while you are riding. Its not a problem if its loaded down.
Look at Niagara Cycle thats where I got mine. They have a bunch of ones to choose from.
http://www.niagaracycle.com/index.php?cPath=90_176
I think this is the one I have even though its listed as a different manufacturer.
http://www.niagaracycle.com/product_...ucts_id=507496