Your description is confusing. I don't understand the need for valves and hondas. A sketch will clear this up, but I think you are failing to understand basic principles of water flowing with a Head of 60'.
If I understand the explanation, and I am not sure that I do, you are starting at the wrong end. Homany Gallons Per Hour are you expecting at the outlet point when water is flowing or being pumped and at what pressure? That will first define the pipe diameter.