Assalamu alaykum wa rahmatullahi wa barakatu Sister,
Please remember that Allah does not burden any soul but to its capacity. (Verse 2:286)
Islam does give you permission to seek divorce by means of khula. This is when a woman asks the husband to divorce her in return for payment. That can be the mahr he gave you, or something else you wish to offer him. If he agrees then he must pronounce divorce. If he isn’t willing to divorce you then you may take the matter to the shariah council.
http://www.islamic-sharia.org/divorce-khula/
You can move out of the area you are living in. There are several way to go about this.
a) Go on the council housing list
b) Apply with private housing association
c) Find private accommodation in area of your choice
d) Live temporarily with relative/friends until above needs are met
e) Move to mother & baby hostel who will find accommodation for you
However, if there is any chance of a reconciliation provided your husband is willing to listen to the advice of a knowledgeable person then please use that opportunity to save your marriage.You shouldn’t convince yourself that these circumstances will lead you to committing zina/kufr. The shaytaan loves making the mind weak with fanciful thoughts and excuses to go with it. Observe salah and make as much dikhr as possible. Please read the Quran with translation sis. Fulfil the obligations Allah set for His servants and no doubt Allah will help you.
(And to Allah (alone) all who are in the heavens and the earth fall in prostration, willingly or unwillingly, and so do their shadows in the mornings and in the afternoons.) (13:15)
~ Allah the All-Mighty has said:
فَاذْكُرُونِي أَذْكُرْكُمْ وَاشْكُرُوا لِي وَلَا تَكْفُرُونِ". البقرة
"Therefore remember Me. I will remember you. Be grateful to Me and never show Me ingratitude" - Al-Baqarah 2:152
~ and....
وَالذَّاكِرِينَ اللهَ كَثِيرًا وَالذَّاكِرَاتِ أَعَدَّ اللهُ لَهُمْ مَغْفِرَةً وَأَجْرًا عَظِيمًا". الأحزاب
"And the men and women who remember Allah frequently, Allah has prepared for them forgiveness and great reward." - Al-Ahzab 33:35
~ Allah said:
وَاذْكُرْ رَبَّكَ فِي نَفْسِكَ تَضَرُّعًا وَخِيفَةً وَدُونَ الْجَهْرِ مِنَ الْقَوْلِ بِالْغُدُوِّ وَالْآصَالِ وَلَا تَكُنْ مِنَ الْغَافِلِينَ". الأعراف
"And remember your Lord by your tongue and within yourself, humbly and in awe, without loudness, by words in the morning and in the afternoon, and be not among those who are neglectful." - Al-Araf 7:205
~ Allah subhana wa ta 'ala says in Hadith Qudsi:- I am as My servant thinks I am (1). I am with him when he makes mention of Me. If he makes mention of Me to himself, I make mention of him to Myself; and if he makes mention of Me in an assembly, I make mention of him in an assemble better than it. And if he draws near to Me an arm's length, I draw near to him a fathom's length. And if he comes to Me walking, I go to him at speed. (It was related by al-Buhkari (also by Muslim, at-Tirmidhi and Ibn-Majah).
Remember death often. It reminds us of the purpose of life and helps put problems into perspective.
Allah subhana wa ta a'ala says:
"And I have not created the Jin and man but that they worship Me" Holy Quran 51:57 Worship is not only praying salah, fasting, making Hajj and so on. It means serving Him as His slave by submitting to His will which includes doing good deeds for His pleasure and reward, and avoiding bad ones for His pleasure and fear of His punishments, relying on Him alone and seeking only His help.
Allah's promise is True. Remember Him and He will remember you.