I think that portrays a particular interpretation of what hell is, of what it means to be 'separate' from God, assuming this is even possible. I personally believe that if God is everywhere and in everything, it is impossible to be separate, except in our belief/illusion of separation.
In my religious upbringing (Hinduism) I have learned that in the material existence, there are heavenly and hellish planets as well as those such as Earth, in the middle. Hell is not a punishment from God. In fact, we are not judged by God at all. Where we go is a result of our karma (actions) and state of consciousness. As a simple example, a person who spends their life on drugs, scamming people, living in ignorance, being selfish etc. has a very 'low' state of consciousness. This alone will cause the soul to be attracted to a place with low consciousness. Hellish planets are such places. They are full of selfish beings and suffering (because suffering comes from selfishness).
The heavenly planets are obviously the opposite of that. And Earth (or similar planets) is somewhere in the middle because you can experience either reality here.
So my understanding of hell is that it is not a place set up by God to punish us. It is a place (places) that exists of our own making. It is not an eternal existence. Wherever we are, the experiences help us learn and grow and eventually we rise higher and higher. It is a personal progression, where we ultimately reach a state of enlightenment and escape the cycle of birth and death to be in the unity of God.
In my opinion, the Christian and Islamic concept of hell is too simple, especially when hell is considered to be an actual place and one that involves fire or burning. I do not understand how separation from God equals eternal burning. Nor do I even understand how it is possible to have any separation from God beyond perceptual experience.
I especially do not see the logic of defining free will as the choice between choosing God over not choosing God (or choosing evil). Free will is having the choice to make your own decisions; do what you want. It is a sort of freedom. But when the choice is 1) faith in something you do not even know is real or 2) eternal damnation, it is not a fair choice. That makes me think of the famous quote 'an offer he can't refuse'. If this is reality, then free will is a curse because without free will there would be no exposure to 'evil', there would be no natural pull toward things that are considered 'sinful'. This 'free will' seems to only give us biological and psychological urges to do things that we would apparently not have without 'free will'.
In other words, I do not think that the concept of hell you have presented makes much sense at all. I do not think that a God who creates hell as a place of eternal punishment or suffering makes much sense at all. I do not think that a God who requires blind faith makes much sense at all. I do not think that the Abrahamic concept of free will makes much sense at all.