I don't have that problem. You have that problem! I don't believe that God knowingly never gives enough grace to believe in a "saving way."
And yet, you have a God who desires all to be saved who, with perfect foreknowledge, knows that the grace given will not achieve His desire.
Not to mention the scriptural impossibility that no amount of grace given to a perverse heart will change that heart unless it is changing grace, thus leaving your graced individual with a perverse heart to believe and speak forth righteousness unto salvation.