If your inner you requires a transition, I think there isn't any permanent solution at all. After all, these feelings are caused by your mind clashing with reality, and the only way to avoid this without changing either is to avoid them clashing: fleeing reality. Some people take drugs and I fled in computers. There are more "healthy" ways to flee, and they aren't all bad initially. The problem is, those feelings require, to lose their effect, much more fleeing than can possibly achieved. And even to make them more or less bearable, for me at least, it still requires so much fleeing that, in the long run, il damages life, and meanwhile dysphoria just grows as a tumor.
So basically, you can do some occasional fleeing (dreaming, video game playing, reading, etc.) but you need a "main" solution, unless you want to be overcome by negative feelings or end up in a world that does not exist. You must change either your world - surrounding yourself with people who make you feel like who you truly are inside - or your body, through some kind of transition, be it medical or not, depending on the nature and intensity of your feelings, to match reality with yourself. Because, of course, you can't just "change" yourself on profound points such as this.
Both solutions are hard, but "there ain't no easy way 'ta happiness, ya know".