Another thing to consider is the manpower problem. While Noah might have had a labour crew of eight, just keeping the family fed would be a near fulltime job, with little spare time for foraging for trees, hauling them to the worksite, sawing and seasoning the beams or planking necessary, rough-shaping the needed item, craning the plank or beam into place as the hull was built, final shaping, fixing in place, then scouring the forest for resin and preparing it for application. Boatbuilding is a full-time job for a small craft, even if the materials are on hand. Almost nothing on a boat is square, each piece nearly always needing shaping to fit, and extending the time and effort needed to finish.
If metals were needed for the saws, splitting wedges, fastenings (Ron Wyatt`s titanium rivets), parts of the crane to lift the beams/planks into place, we are talking a separate effort of locating ores, smelting, forging, sharpening.
Unless, of course, they traded with merchants who might ask why so much material was needed. Did Noah, the righteous man, dupe the metal or timber suppliers with some tale of a South Seas cruise? No one in the neighbourhood wondered when the gang started rounding up specimens, fencing, feeding, ploughing, harvesting, and storing as would be necessary in the last days before sailing?