There are many proofs of giant men. The Bible does not state the heights of pre-flood inhabitants, but we do have valid records of those "giants" of men that have existed in various ages of history.
Height is like any other genetic trait found in humanity. A male and female of lofty stature are more likely to produce offspring with this characteristic than a dwarf couple.
The bible does reveal in the following scripture verses that there were "giants" before and after the flood:
Genesis 6:4-7; Numbers 13:32-33; Deuteronomy 2:9-11; Deuteronomy 2:17-24; Deuteronomy 3:11-13; Joshua 12:4-6; Joshua 13:12; Joshua 17:15; Joshua 18:16; 1Samuel 17:3-7; 2Samuel 21:16-22; 1Chronicles 20:4-8;
What the Spirit of Prophecy reveals in the following passages does confirm the Bible.
Noah's Time and Ours:
Many flatter themselves that in this enlightened age men are superior in knowledge and talent to those who lived before the flood; but those who think this do not rightly estimate the physical and mental strength of that long-lived race. In those ages growth was slow and firm. Men did not, as in the present time flash into maturity early, and exhaust their vital forces. Their minds were of a high order, and were strong and clear. Had these men with their rare powers to conceive and execute, devoted themselves to the service of God, they would have made their Creator's name a praise in the Earth, and would have answered the purpose for which He gave them being. But they failed to do this.
"All flesh had corrupted his way on the Earth." There were many giants, men of great stature and strength, renowned for wisdom, skillful in devising the most cunning and wonderful work; but in proportion to their skill and mental ability was their great guilt because of unbridled iniquity. [Bible Echo 07-01-1887]
After the Flood:
The generations after the flood were less in stature. There was a continual decrease through successive generations, down to the last that lived on the earth. The contrast between the first wicked men that lived on the earth, and those of the last generation, was ver great. The first were of lofty height and well proportioned. The last came up as they went down, a dwarfed, feeble, deformed race. A mighty host of kings, warriors, statesmen and nobles, down to the most degraded,came up together on the desolate earth. [Page 83, Early Editions, Spiritual Gifts, Volume 3 1864]
The Conquest of Bashan:
Filled with hope and courage, the army of Israel eagerly pressed forward, and, still journeying nothward, they soon reached a country that might well test their courage and faith in God. Before them lay the powerful and populous kingdom of Bashan, crowded with great stone cities that to this day excite the wonder of the world -- "three score cities.... with high walls, gates, and bars; besides unwalled towns a great many."
[Deuteronomy 3:1-11] The houses were constructed of huge black stones, of such stupendous size as to make the buildings absolutely impregnable to any force that in those days could have been brought against them. It was a country filled with wild caverns, lofty precipes, yawning gulfs and rocky strongholds. The inhabitants of this land, descendants of a giant race, were themselves a race of marvellous size and strength, and so distinguished for violence and cruelty as to be the terror of all surrounding nations; while Og, the king of the country, was remarkable for size and prowess, even in a nation of giants.