You should invest in the 11th edition of API 650. It's the current standard for new construction of storage tanks.
also, i dont remember EVER seeing a new construction checklist in any edition of 650. I had to create my own checklist.
I would recommend you follow API-650, 11th edition, Appendix T. Its titled "NDE Requirements Summary".
It's a good guide to look over as you go. I used this appendix to create a checklist for myself.
Hope this helps.