Since you made an appeal to Christian Think Tank please read this--
This was the largest annihilation/judgment to date (although it is very difficult to estimate with confidence the population at this time, especially given that 'violence' was at an extreme high and correspondingly would have made homicide rates horrendously high), and involved people, animals, and much vegetation (Gen 6-8). In a very incisive view of God's heart, we see the 'emotions' surrounding this apparent judgment:
5 The LORD saw how great man's wickedness on the earth had become, and that every inclination of the thoughts of his heart was only evil all the time. 6 The LORD was grieved that he had made man on the earth, and his heart was filled with pain. 7 So the LORD said, "I will wipe mankind, whom I have created, from the face of the earth -- men and animals, and creatures that move along the ground, and birds of the air -- for I am grieved that I have made them." (Gen 6.5ff)
We also see the rather violent nature of the crimes in Gen 6.13:
So God said to Noah, "I am going to put an end to all people, for the earth is filled with violence because of them.
The story is familiar: (1) God decides to 'spare the innocent' again and warns Noah to build a boat for him and his household
(apparently NOT so innocent);
(2) the evil/violence of the people were both against God and against humanity (Gen 6.12) and was VERY EXTENSIVE ("filled"); (3) some of the evil was probably sexual violence or violation (Gen 6.1-2); (4) Noah apparently "preached righteousness" to these people for AT LEAST a hundred years! (cf. 2 Pet 2.5); (5) this long period of preaching was an act of patience on God's part (I Pet 3.20);(6) in spite of the warnings, there were apparently no 'changed minds'.
Let's note again that (1) they had plenty of access to 'truth' (at LEAST 100 years) and at least a year of specific 'flood warnings'; (2) their crimes were violent and pervasive to God(!); (3) the annihilation was a judgment; (4) God was willing to spare the innocent people--if any could be found; (5) children living in the households of their evil parents would have undoubtedly died swiftly [the Flood was more of a sudden-event a la tidal waves, than a gradual rising water--cf. Gen 7.11: In the six hundredth year of Noah's life, on the seventeenth day of the second month -- on that day all the springs of the great deep burst forth, and the floodgates of the heavens were opened.]; (6) the one innocent man and woman are delivered (along with their children of the household).
The Amalekite initiative looks like an ordered annihilation.
This is what the LORD Almighty says: `I will punish the Amalekites for what they did to Israel when they waylaid them as they came up from Egypt. 3 Now go, attack the Amalekites and totally destroy everything that belongs to them. Do not spare them; put to death men and women, children and infants, cattle and sheep, camels and donkeys.'" (I Sam 15.2f)
The situation is thus:
The Amalekites are a predatory, raiding, and nomadic group; and are descendants of Esau (and hence, distant cousins to Israel).
They would have been aware of the promise of the Land TO Israel, from the early promises to Esau's twin Jacob.
They did NOT live in Canaan (but in the lower, desert part of the Negev--a region south of where Judah will eventually settle), and would NOT have been threatened by Israel--had they believed the promises of God.
As soon as Israel escapes Egypt--before they can even 'catch their breath'--the Amalekites make a long journey south(!) and attack Israel.
Their first targets were the helpless:
Remember what the Amalekites did to you along the way when you came out of Egypt. 18 When you were weary and worn out, they met you on your journey and cut off all who were lagging behind; they had no fear of God. 19 When the LORD your God gives you rest from all the enemies around you in the land he is giving you to possess as an inheritance, you shall blot out the memory of Amalek from under heaven. Do not forget! (Deut 25.17-19).
Before the attack on Amalek is initiated by Israel, the innocent are told to 'move away' from them: Saul went to the city of Amalek and set an ambush in the ravine. 6 Then he said to the Kenites, "Go away, leave the Amalekites so that I do not destroy you along with them; for you showed kindness to all the Israelites when they came up out of Egypt." So the Kenites moved away from the Amalekites. (I Sam 15.5f). This action would have also served to give the people of Amalek plenty of notice (i.e., time to 'move away' themselves), and the impending attack by Saul--especially with the troop counts reported!--would hardly have been a surprise. Some of them would likely have fled--we KNOW all of them were not killed, since they 'lived to fight/raid again' in David's time (I Sam 27,30) and even in Hezekiah's time (200-300 years later!, 1 Chr 4.43).
Again-read the Scriptures, but read the whole article as well.