Bryan, Don't mind if I chime in do you?
I don't think EXIF is critical. I have shot aerial movies, converted them to TIFF sequences (and in the process stripped out all the EXIF data) and had the model come out beautifully.
I am familiar with the phenomena you are describing however. In my experience, it comes from Photoscan attempting to build a model from your entire shot, inclusive of everything behind the object. So you get this point cloud that is super-deep and you are stuck in the middle of it. As you rotate around, it comes into view and then quickly disappears again. I hope this is making sense. Why your project works with your wife's camera is a mystery to me.
Are you masking your images? I bet if you took your original set and just drew a very loose marquee around the subject that you are trying to model that you'd get much better results. Believe it or not, the mask does NOT have to be accurate. Like I said, just draw a box around the subject and see how that goes.
Jon