Durham's small, and in the middle of nowhere. Oh well.
Bank Top will stil have EXACTLY THE SAME LEVEL OF SERVICE AS IT DOES NOW Because there will no longer be a need for fast services to Newcastle & Edinburgh, so we could run, say, a half-hourly service south to LKX going north to Edinburgh & Newcastle, with the EDB service stopping at all current stations (i.e. Stevenage, Peterborough, Grantham, Newark, Retford, Doncaster, York, Northallerton, Darlington, Durham, Newcastle, Morpeth, Alnmouth, Berwick, Dunbar) and the Newcastle service calling at all those places plus Welwyn Garden City, Hitchin, St Neots, Huntingdon, Thirsk, Chester le Street and Prestonpans.
As for TVP, it's a lot easier to access than Bank Top for everyone who doesn't live in Darlington, given Bank Top is miles away, and the bus service is extremely poor. Putting TVP 1.5 miles southwest of Stockton with a metro service into Middlesbrough, Stockton, Thornaby, Billingham & Hartlepool will make it easily accessible for journeys south. I really don't understand how you think trains that went to TVP wouldn't go to Bank Top, as the Tees Valley line links Darlington-TVP-Middlesbrough/Hartlepool. Yes, 'classic' services would still go to Bank Top, but as TVP is designed to get feed-in from local trains, that's not really an issue.
Also, your 'time savings would be destroyed' argument is just rubbish. 1hr 45 mins to London & 20 mins to Leeds from TVP, let's call it 2 hrs / 40 mins right into centres. That's compared to 3hrs London / 1hr 40 mins Leeds today. An hour quicker, much better.
As for York, I made this very clear too but you refuse to understand. I OPPOSE GOING TO YORK INSTEAD OF GOING TO LEEDS. Also, I'd point out that YORK IS MILES OUT OF THE WAY, TVP ISN'T. this is really very simple John, try and get your head round it.
As for route, probably near NNE, head up west of wetherby, then turn slightly east & dead straight to TVP. From TVP you'd head north, then turn slightly west (bisecting Durham & Chester le Street), then continue a gentle curve northeast, passing between Beamish & Stanley, reaching the Tyne between Blaydon & Swalwell and then turning sharply east to use the disused eastern approach. And yes. This would involve running slowly. Because trains would be stopping. At Newcastle. Which is kind of why we're building a railway line to Newcastle in the first place.