I owned one for about 10 years. Sold it and bought Mog, I know this sounds like heresy but enjoyed both equally. One big difference is that the narrowboat travels at 4 mph it does not matter how fast you try to go you will only manage about 4 mph because of the Locks.
As for where to go for a week I suggest picking an area of the country that interests you for whatever reason, there is amazing scenery to be had and equally amazing engineering, Anderton Lift, Crofton Pumping station and Falkirk Wheel to mention just 3.
Do leave time to leave the boat and explore for a few hours. You will have fun.