If a gay person really believes in the teaching of the Orthodox Church and is seriously seeking salvation on the Orthodox Christian path, I think his or her situation is very simple. He (she) understands that he (she) suffers from a spiritual affliction, which he (she) has to fight against without finding any excuse for it or a compromise between Christian spirituality and this soul-destroying passion.
This struggle is very hard, just as spiritual struggle against alcoholism, drug addiction or any other type of addiction. If a person publicly identifies as gay, this will not help his (her) struggle. On the contrary, it will make such struggle much more difficult. It may provoke gay people into trying to seduce the struggler, it may also subject him (her) to the vitriolic hatred of gay activists or other progressively-minded bullies. Or to advice from well-meaning friends in the vein of "Accept yourself, relax and enjoy your sexuality". On the other hand, it may scandalise some Orthodox believers or just embarrass them.
And if a young man or woman publicly declares him or herself gay, but later manages to overcome this sin to such a degree, that he or she falls in love with a person of the opposite sex and decides to marry, this might introduce unnecessary complications.
On the whole, public identity sticks. If somes tells everyone: "I'm gay", everyone will consider him (her) first and foremost as gay and expect him (her) to conform to the stereotype, thus making him (her) prisoner of his (her) identity.
I think that an Orthodox Christian suffering from a same-sex affliction should not talk about it without pressing necessity. This is a matter to be discussed with his (her) spiritual father or a Christian therapist. Of course, if such a person feels a burning need to discuss his (her) troubles with someone, they can talk to a close straight friend or a loving relative of whose discretion they are sure.
On the whole, there are things which are better not mentioned. Sins of the flesh are among such things. The less we talk of them, the less we think of them. And the less we think of them, the less we commit them.