You say you don't know how God would have handled it. So what good is your answer? You have before you how Jesus Christ's actions were the same as Adams actions. And both became guilty of sin as the result. As a result God provided a salvation which got Adam back and in so doing got Eve back also. Jesus Christ became sin for us and God got Him back and as a result got all those in Christ back also.
You ask if Adam did what God would have done why did he hide after being found out? Ask this first. If it was the will of the Father for the Son to become sin for us, why did Christ cry out, "My God, my God, why hast thou forsaken me"? Ask now, does God punish us when we do things his way?
Not only do you not know what would have happened to Eve, but you don't care. You have no answer, but would rather see Adam turn from her, leaving her in the worst condition a human being could be in.....Something God has shown you in Christ that He would never do.
Stranger
I don't believe Jesus Christ's actions were the same as Adam actions. Adam was disobedient, Jesus actions at no time ever were disobedient. I don't believe God would encourage disobedience, so no Jesus actions were not the same as Adams. You will find nowhere in scripture where Jesus was guilty of any sin. No God does not punish us for doing things his way. I think the scripture saying, "My God, my God, why hast thou forsaken me, When Jesus said those words, evidently he was fulfilling a prophecy concerning his death. (Psalm 22:1) In a qualified sense, Jesus could also have meant that Jehovah had removed his protection and let his Son die a painful and shameful death so as to test his integrity to the limit. An examination of the events on that final day of Jesus’ earthly life shows that God heard his prayers.
On the night of his arrest, Jesus prayed in the garden of Gethsemane. Three times he pleaded: “My Father if it is possible, let this cup pass away from me.” (Matthew 26:39, 42, 44) Jesus was not reluctant to give his life as a ransom for believing mankind. No, but he apparently was deeply concerned about the possibility of dishonoring his dearly beloved Father by dying on a torture stake as a cursed blasphemer. Did Jehovah hear Jesus’ prayer?
Years later the apostle Paul wrote: “In the days of his flesh Christ offered up supplications and also petitions to the One who was able to save him out of death, with strong outcries and tears, and he was favorably heard for his godly fear.” (Hebrews 5:7; Luke 22:42, 44) Yes, on an agonizing night preceding his death, Jesus “was favorably heard.” But how?
Jehovah sent an angel who “appeared to [Jesus] and strengthened him.” (Luke 22:43) Thus strengthened, Jesus was able to face death on the torture stake. Apparently, Jehovah then gave him assurance that his death on the stake would not bring reproach on the divine name but would eventually be the very thing used to sanctify it.