Ben
How did your potatoes turn out in the end? From what I have read, the method is to top off soil with manure and/or a layer of compost upon which you plant your potatoes, then to top that off with a thick layer of manure/compost.
One of the guys on the plot next to mine uses this method, unbeknown to him he is using a variation on the no dig principle.
As I was not fully aware of No Dig when I planted my chitted potatoes in early or late March. I was advised by an old timer to use a layer of leaf mould cover that with a layer of soil in your trench and then to bank up all the soil as per normal.
Although that was not no dig the soil afterwards was so vastly improved it got me thinking and researching no dig later on in the year.