Well,I am not specialist about doctrines of Islam,But Myself,I am Christian,and gay,and I have resolved this problem by realising,that in bible,Jesus did not mention anything about this.I am not sure,if something similar can be found as resolution to your problem.Does Prophet Muhammad himself mentioning anything about this? My personal opinion is,that there will be hard time for you to be without sex,if you enter into relationship of any sort.
PS. I do own translation of Holy Quran,and commentary to it,and some other material..because Christianity,Islam,and Judaism are all abrahamic religions,and have common history.