So, again -- If what you say is true, then why would God want or need to harden the king's heart, since Pharaoh's evil will was perfect in line with God's? What is the purpose behind God's hardening what is already hardened? 
Also, you still haven't provided any biblical proof that Pharaoh beat God to the punch by hardening his own heart. Since you have all this backwards, you likely believe that God's ways or steps are not in Himself but are determined by the Pharaoh's of the world. Apparently, you and Studier and others have never read:
Prov 21:1
The king's heart is in the hand of the LORD;
he directs it like a watercourse wherever he pleases.
NIV
As biblical narratives are most prone (indeed designed) to do, they provide solid examples to biblical doctrines. You might wanna also check out these companion, complementary texts to the above:
Prov 16:1
1 To man belong the plans of the heart,
but from the LORD comes the reply of the tongue.
NIV
Prov 16:9
9 In his heart a man plans his course,
but the LORD determines [or directs] his steps.
NIV
Prov 19:21
21 Many are the plans in a man's heart,
but it is the LORD's purpose that prevails.
NIV
Prov 20:24
24 A man's steps are directed by the LORD.
How then can anyone understand his own way?
NIV
Jer 10:23
23 I know, O LORD, that a man's life is not his own;
it is not for man to direct his steps.
NIV
Dan 5:23
23 Instead, you have set yourself up against the Lord of heaven. You had the goblets from his temple brought to you, and you and your nobles, your wives and your concubines drank wine from them. You praised the gods of silver and gold, of bronze, iron, wood and stone, which cannot see or hear or understand. But you did not honor the God who holds in his hand your life and all your ways.
NIV
Also, you still haven't provided any biblical proof that Pharaoh beat God to the punch by hardening his own heart. Since you have all this backwards, you likely believe that God's ways or steps are not in Himself but are determined by the Pharaoh's of the world. Apparently, you and Studier and others have never read:
Prov 21:1
The king's heart is in the hand of the LORD;
he directs it like a watercourse wherever he pleases.
NIV
As biblical narratives are most prone (indeed designed) to do, they provide solid examples to biblical doctrines. You might wanna also check out these companion, complementary texts to the above:
Prov 16:1
1 To man belong the plans of the heart,
but from the LORD comes the reply of the tongue.
NIV
Prov 16:9
9 In his heart a man plans his course,
but the LORD determines [or directs] his steps.
NIV
Prov 19:21
21 Many are the plans in a man's heart,
but it is the LORD's purpose that prevails.
NIV
Prov 20:24
24 A man's steps are directed by the LORD.
How then can anyone understand his own way?
NIV
Jer 10:23
23 I know, O LORD, that a man's life is not his own;
it is not for man to direct his steps.
NIV
Dan 5:23
23 Instead, you have set yourself up against the Lord of heaven. You had the goblets from his temple brought to you, and you and your nobles, your wives and your concubines drank wine from them. You praised the gods of silver and gold, of bronze, iron, wood and stone, which cannot see or hear or understand. But you did not honor the God who holds in his hand your life and all your ways.
NIV