I don't know what Deuteronomy you're reading but it's about misrepresenting virginity,adultery, rape and incest...usually with the result of a good stoning.
Instead of ignoring the fact transsexualism is the same pathology of homosexuality, why don't you ask your Rabbi if Deut 22:5 isn't about sexual context.
Or just remain closed eyed to it, I don't really care anymore.
I'm pretty sure any Rabbi I might ask would see it the same way, my view of the Bible is rather orthodox.