There's a big height difference between the old 'northern heights' Alexandra Palace station and Wood Green tube... you'd probably have to build a massive viaduct to even out the gradient.If I was going to re-open Northern Heights, I would do it as a branch of Northern City, or altenatively Victoria or Picadilly. I would also extend the Alexandra Palace line to Wood Green or thereabouts on Picadilly, and get the Northern line split.
As in branch the Piccadilly line north of Finsbury Park?As Parkland Walk is very protected how about tunnelling the line instead and connecting it with the Piccadilly Line at Finsbury Park thus satisfying both the walkers, cyclists, environmentalists and commuters all at once.