I would insist on a few things (some already mentioned):
1. Build it according to the tech of Noah's time. With the same materials or reasonable substitutes. With the same joining techniques and the same kinds of fasteners of Noah's time. I would not go so far as to insist on the same kinds of tools, just so long as the final product is the same.
2. Float it! Don't just create a dry-land mock-up, but make it float.
3. Man it and stock it as per the Bible. Lock them in there for a year.