I don't know the answers to all of your questions (sorry) but I'll answer the ones I do know with the Scripture (NIV)
Approximately what year(s) did the flood occur in? I don't know the actual years, but it was "when men began to increase in number on the earth and daughters were born to them" (Genesis 6:1)
Would this have been more recently than approximately 4,000 BC (or 6,000 years ago)?
How long did the flood last? "Noah was six hundred years old when the floodwaters came on the earth." (Genesis 7:6) ....... "By the first day of the first month of Noah's six hundred and first year, the waters had dried up from the earth." (Genesis 8:13) The whole entire flood and the drying of the water took about a year.
How did they measure a year back then?
Are there any fossil records showing that men lived several hundred years back in that era? If so, where are the records?
How deep was the water? ...as the waters increased they lifted the ark high above the earth...the waters rose and covered the mountains to a depth of more than twenty feet." (Genesis 7:17-20)
Did the flood cover the mountains in a small geographic region or the mountains world wide?
Were any areas of land accessible during the flood? I can't find anything for that, but I doubt it.
Is there anything in the story of Noah's ark to indicate Mt. Everest was not covered with water?
Where did Noah build the ark? He probably just built it where he lived. I think.
Where in modern day geography was this?
How large was the ark? "The ark is to be 450 feet long, 75 feet wide and 45 feet high."(Genesis 6:15; the quote is God speaking
What method did God use to measure the size of the ark?
How many different species of animals were taken aboard the ark? "Take with you seven of every kind of clean animal." (Genesis 7:2; Quote is God speaking)
Approximately how many different species of animals were taken aboard the ark? 10? 100? 1000? 10,000?
How were the animals gathered up? I guess God enabled Noah to find them.
Did Noah hire helping hands to round up the animals?
How did the humans control any animals that may have been reluctant to board the ark?
How many humans were on the ark with Noah? "And Noah and his sons and his wife and his sons' wives entered the ark..." (Genesis 7:7)
Did any humans other than those on the ark survive the flood? "Everything on dry land that had the breath of life in its nostrils died." (Genesis 7:22)
I take this to mean that all currently living humans are direct descendants of Noah, his sons, his wife and his sons wives. Correct?
What ethnicity were Noah and the others on the ark?
What modern day geographic region did Noah sail in the ark? ...no idea
How long was Noah stranded in the ark with the animals? See answer for second question.
What did Noah do for food for his extended family and the animals during the flood?
How far in advance of the flood did Noah begin the construction of the ark? No idea
What prompted Noah to construct an ark? God told him what to do (Genesis 6:13 to Genesis 7:5)
Did God communicate this to him audibly?
Was the ark constructed on land or in water? I'm guessing land
If the ark was constructed on land, how was it moved to the water? It was probably just moved by the floodwaters itself when the flood started.
Where did the water of the flood come from? "...all the springs of the great deep burst forth, and the floodgates of the heavens were opened." (Genesis 7:11)
Does that mean it rained very hard for an extensive period of time?
How did the water of the flood recede? "He (God) sent a wind over the earth, and the waters receded." (Genesis 8:1)
I take that to mean the excess water was blown off the earth. Correct?