John Chrysostom really does not see reasons from a practical point of view to apply physical force to a wife. And I agree with him in this. It is practically impossible to imagine cases when force must be applied.
However, Catholic scholastic theologians solve this problem from the point of view of the Natural Law and the Positive Law of God (theoretically). And I agree that the husband is the head of the wife and from the point of view of the nature of their relationship, he can use force. Similarly, the state can use force in relation to its citizens.
Chrysostom says a noble spirit would not do it, not just that it wouldn't work--though he also says it won't work as well.
But if you agree with him as he interprets Ephesians, and you say you see no reason to beat your wife--then why is there a "problem" that still needed solving for you to quote the quite later Catholic writers? If it won't work, and it should not be done, and you have no text saying you should beat your wife, what is the problem needing solving? Do you just want to reserve a right to beat her in case you decide to, on the flimsiest of pretext? Notice the two quotes you give don't put any text either, because there is no justification for it.
Jesus beats his Church constantly. All death, trials and suffering in the world are, in a certain sense, by the will of God. Thus, God sends trials to every person to teach him. And he punishes for the purpose of teaching.
Hebrews 12 and James refer to enduring trials, etc. But of course you have taken these out of context as well. The Christians being written to by the author of Hebrews had already suffered for their faith, and now were in danger of discouragement due to further persecution. They were not being beaten for being unfaithful.
Hebrews 10:32 But recall the former days in which, after you were illuminated, you endured a great struggle with sufferings: 33 partly while you were made a spectacle both by reproaches and tribulations, and partly while you became companions of those who were so treated; 34 for you had compassion on me in my chains, and joyfully accepted the plundering of your goods, knowing that you have a better and an enduring possession for yourselves in heaven. 35 Therefore do not cast away your confidence, which has great reward. 36 For you have need of endurance, so that after you have done the will of God, you may receive the promise. (NKJV)
He then encourages them not to fall away, but to follow the example of Jesus who endured the cross, and the hostility of sinners for us, laying down His life.
Hebrews 12:1 Therefore we also, since we are surrounded by so great a cloud of witnesses, let us lay aside every weight, and the sin which so easily ensnares us, and let us run with endurance the race that is set before us, 2 looking unto Jesus, the author and finisher of our faith, who for the joy that was set before Him endured the cross, despising the shame, and has sat down at the right hand of the throne of God. 3 For consider Him who endured such hostility from sinners against Himself, lest you become weary and discouraged in your souls. 4 You have not yet resisted to bloodshed, striving against sin. 5 And you have forgotten the exhortation which speaks to you as to sons:
“My son, do not despise the chastening of the LORD,
Nor be discouraged when you are rebuked by Him;
6 For whom the LORD loves He chastens,
And scourges every son whom He receives.”
7 If you endure chastening, God deals with you as with sons; for what son is there whom a father does not chasten? 8 But if you are without chastening, of which all have become partakers, then you are illegitimate and not sons. 9 Furthermore, we have had human fathers who corrected us, and we paid them respect. Shall we not much more readily be in subjection to the Father of spirits and live? 10 For they indeed for a few days chastened us as seemed best to them, but He for our profit, that we may be partakers of His holiness. 11 Now no chastening seems to be joyful for the present, but painful; nevertheless, afterward it yields the peaceable fruit of righteousness to those who have been trained by it. (NKJV)
For you to twist that into an excuse for you to beat your wife, when you acknowledge it would not work, is ridiculous, And if anyone actually follows your "solution" and abuses their wife, that will be adding to the things you have to give account for. Sin is bound to come, but woe to him through who it comes.
Stop looking for reason to beat your wife, and instead lay down your life for her.