This still sounds like a fine trip!
There are a few long stretches, but if you stock up with food and snacks to last, say, three or four hours, you will be fine.
It's OK to ask for water refills at people's homes along the way. I have never been refused!
Traffic is actually not bad along the route you are considering. For more information about routes, see:
http://www.waterfronttrail.org/
http://www.hedney.com/waterfront.htm