On visits to various cities to collect photos I'll usually rent a bike and ride around to shoot. Most times the bikes (city, upright) have a front basket but occasionally not. All of my current bags are backpack style which I don't like to use if I'm doing a lot of shooting, nor is putting it on the rear rack a good solution. Both of these take too long to grab a camera.

When I've not had a basket in the past I've just kept one or two camera's on me using Black Rapid straps (very much my favorite system). Riding around with these hanging at my side isn't great, though it does allow me to grab shots quickly (sometimes with many apologies to the person behind me). Each camera and lens is about 5 to 8 lbs.

Any ideas for better options?