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👍 @f1s - is this roughly the route? https://www.strava.com/routes/7027686
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That one goes up a shared-use pedestrian path. You have to get off each end to go through the gates. It is nice and steep on fixed gear though.
I'd carry on the road to the top of Fountain Drive and the double mini roundabout. It's not that steep by road, but you will notice it. From there I normally go along Sydenham Hill (which is actually flat), then past the Horniman Museum down into Forest Hill, and then either back up Ewehelme or Benson Road and then onto Horniman Drive to the radio transmitter at the top. You can also do Canonbie Road at that point. These are probably the steepest roads around without much traffic.
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What @Gabeuk said...
Edit: Wells Park Road is also there or thereabouts. Reasonably steep and awfully bad surface. You can channel your P-R ambitions...
College Road. Go left at the top and along a nice flat road with The Dulwich Woodhouse pub on, left at the mini roundabout and down the hill onto the S.Circular. Along and left back onto College Road. Do it as many times as you fancy. Or just utilise the roundabouts at the top and bottom of College Road and go up and down to your heart's content.
Or try and find the route for The London Classic 'S.London Alps' bit. Involves Canonbie and more. I'm sure someone with more internetting ability than I could attach the route? @The_London_Classic