Yes it's doable in a week, and I would do the route Allan suggests via Camp Hill. I would get the bulky bit (Hatton etc) out the way first and head clockwise from Stockton. If you can fit it into your agenda, moor at Catherine de Barnes overnight on your third night and then do an early start the following morning and aim to get somewhere around Curdworth or even the bottom of Curdworth Locks where there are lovely moorings. It is a big day (we did it last summer and it was about 10.5 hours but we left at 5am !!). This stretch is not the most picturesque, but still interesting. From there you can relax a bit more as there are less locks or chances of delays. Some nice pubs along the way too. Have a good trip.