Alternative Cycle route to Greenwich Park? A2 is a death trap!

[sliding_doors]

I've just got back into cycling after coming off my bike 2 years ago. I've been trying to find a good route to cycle to Queen Elizabeth Hospital which is just past Greenwich Park

I'm really happy with most of my current route http://maps.google.co.uk/maps?f=d&source=s_d&saddr=E+Dulwich+Grove%2FA2214&daddr=51.4663778,-0.0510321+to:51.464064,-0.0383768+to:51.4719268,-0.0318996+to:51.4740025,0.0066575+to:Shrapnel+Close&geocode=FeQ0EQMdxM7-_w%3BFYlQEQMdqDj__yl3c9pBrAN2SDEgVQo5xoUREw%3BFYBHEQMdGGr__ynNdD2yUQJ2SDGg0pWqLa4OEw%3BFTZmEQMdZYP__ynJU5GKWAJ2SDGRF1U5xoUREw%3BFVJuEQMdARoAAClFvk2jLKjYRzHgwwo5xoUREw%3BFSR7EQMd8sIAAA&hl=en&mra=dpe&mrcr=0&mrsp=4&sz=14&via=1,2,3,4&sll=51.473578,0.025835&sspn=0.031222,0.090895&ie=UTF8&z=14 which takes me past Nunhead then Brockley and then up to the A2.

The problem is that I can't work out anyway to avoid the the A2 at the Depford Bridge junction and up Blackheath Hill. I feel like I take my life in my hands as the road is full of huge lorries speeding in and out of london! It's a real shame because apart from that short bit I like the rest of the route.

I was wondering whether anyone could suggest any alternatives? I don't mind cycling on average roads just not major routes with loads of trucks. The only other route which someone suggested before for getting to Canary Wharf is going around via Ladywell and Lewisham. Something like this http://maps.google.co.uk/maps?f=d&source=s_d&saddr=Elsie+Rd&daddr=51.45169,-0.03952+to:51.4565945,-0.0200039+to:51.476154,0.012916+to:Shrapnel+Close&geocode=Fc84EQMd79D-_w%3BFSoXEQMdoGX__ykt4lYYNgJ2SDGAHJaqLa4OEw%3BFVIqEQMd3bH__ynPV3nSawJ2SDFRF5eyLa4OEw%3BFbp2EQMddDIAACmBbA1_MqjYRzEgs66qLa4OEw%3BFSh7EQMd08IAAA&hl=en&mra=dme&mrcr=0&mrsp=0&sz=15&via=1,2,3&sll=51.457991,-0.069609&sspn=0.015616,0.045447&ie=UTF8&ll=51.45743,-0.059996&spn=0.031233,0.090895&z=14 . I haven't tried this one yet as I worry it will add quite a bit of time onto my commute which usually takes me just under an hour - although I'm hoping to speed up as I get fitter and more confident.

Does anyone does know any good routes to Greenwich Park / Black Heath? The route to the hospital after that is quite easy - it's just this first half I can't figure out!

[GrahamP]

Here's one route...

Honor Oak Park, Brockley, Ladywell,

CourtHill Road, Hither Green Lane, Ennersdale Road and various backstreets through Manor Park to Lee Green.

Lee Road to Blackheath

Graham

[tomchance]

I plugged your route into the CycleStreets journey planner... this might give you some inspiration: http://www.cyclestreets.net/journey/322292/