New route based on suggestions:
Any thoughts?
Yes, that's much better. Nice and direct. Will be a quick commute. Especially as you are going against all the morning traffic.
A few things.
The route is flat as a pancake but there are a couple of lumpy bits. There is an up/down on the A20 Past Goldsmiths. And of course the aforementioned Bromley Hill (You can hit 40+ easy on the way back)
The RAB at lewisham can be a bit hairy at times. It's a fast, multi lane RAB. OK going back in the evenings but not great for your morning run. Get plenty of impatient drivers here.
So if you don't feel like doing it then use the Cornmill Shared Path. When coming down Loampit Vale, turn right into Elmira Street and follow the (well kept) shared path (under the railway) to Molesworth Street.
A bit further on the A21 you seem to veer off right onto Barmeston then back on to the A21. No need.. just keep on straight up the A21
A bit further on at the Downham Way crossroads. Northbound the lane splits into 3. Keep primary in the 2nd lane to go straight on and keep your wits about you. Vehicles have a tendency to change lanes at the last moment here. (This is where I got knocked off last year).
At Kentish Way, be very careful when turning right. It's like a race track. I would suggest instead of turning left onto Tweedy Road, carry on London Road and the HIgh Street. Then scoot down the Ped Only High Street turning left into Emfield Road.
Will look out for you in the mornings and evenings...