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The last time I did LtB I started your route down Layhams Road but then straight on to top of Titsey Hill, then right along The Ridge, down and across the A25 to pick up Tandridge Lane (lovely road, bit flatter than Ide Hill direction), right at Lingfield onto the B2128, which takes you to Turners Hill, then just pick up the official LtB ride route over Ditchling.
Lunch at the Constant Service, massive roast!
I don't have a gpx but we head from SE london, out through West Wickham / Layhams Rd, then: Beddlestead Ln, Pilgrim's Way, Brasted, Ide Hill... then roughly google maps route from there with a few tweaks / mistakes along the way...
Then fish and chips at the place on the high street followed by a roll down to the beach : )
I should add the train ride back is easier from Brighton!