CottageGirl,
We have used nearly the exact itinerary several times and it has worked out very well.
My only suggestion coming from Roadtown would be to start at Cooper Island instead of Norman the first night as you are covering the same space twice and it typically takes multiple tacks to get back up to Cooper and a waste of time unless you want the extra sailing time. You can then catch Norman on the backside of the trip. We find this gives us an extra day to use somewhere else and often stay at Norman the last night, depending on your travel arrangements the last day, as it not that much farther than Great Harbour on Peter. We will start with the Rhone the first day and moor at Cooper that night.
One of the downsides is the Rhone can be rough and a difficult start if you have crew that are prone to seasickness.
Either way I think your itinerary will work out well!
