strawberryplants 
Feeling lonely is so, so hard - but trust me, being lonely in a relationship is worse than being lonely on your own.
I do get what your are saying, I do, and I won't pretend that I understand what it's like to be gay. Because I don't.
But I know about loving yourself, truly embracing who and what and how you are. You may not like everything about yourself (none of us do), but a loving acceptance of who you are as a person, sexuality and all, will likely help you crave what you perceive as 'normal' much less.
I am as 'normal' as it gets, white, middle class, heterosexual, married, children, a dog and guineapigs
- my H left me last year for another woman. What is tearing me apart is not the end of our relationship (which is sad and upsetting, but I accept that relationship can run their course, and why would my life be any different from so many others'?) but the lies and deceit and lack of consideration for me and our family as a whole and the self-absorption that my H has shown. I think so much less of him now, I have lost respect for him and that is devastating because it taints our past together: 20 years of considerable ups and downs in life now mean less because he did not have the guts to be honest. Had he said several years ago "I am unhappy and want to leave you" I would have been heartbroken but not as damaged as I feel I am now.
Please be honest. To yourself, to any potential partner in the future, Be who you are - that might not be easy, but easier than living some kind of twisted 'normal' that in reality does not really exist.
I do think a good counsellor could help you explore a way forward that does not involve a pretence that is potentially very hurtful and damaging to you and your theoretical man.