If the purpose of the ride is photography, then plan accordingly. Perhaps a bike with panniers, that way you can carry the equipment that you'll need. A monopod or tri pod, a few lenses and a camera body that can be packed in foam when not in use. Maybe a flash and spare batteries as well. You could have a handlebar bag with your digital point and shoot camera for the general photos, and then the better camera for the shots for which you want to take your time.
Use the right tools for the job.
For me, riding and photographs don't go together. I ride to ride, so I'd almost never stop for the purposes of a photo. My wife enjoys taking photos when she sees something that she'd like to capture. So, riding with her (especially off road or scenic rides), I have to be ready to stop and wait. But, it's what she enjoys. To each, his or her own.