An adverb of frequency is usually placed in the middle of the verb phrase or in the 1st position when modifying the whole sentence. ‘Go out’ is a phrasal verb and ‘often’ is the adverb, so ‘often go out’ would normally be the word order. Adverb of place is usually placed in the last position. I often go out at night, for example. To turn it into a question, I would say, “Do you often go out at night?” I honoestly don't think the 2 question forms you have make much difference.
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