Instead, researchers have benefitted from the development of DNA chips, which can survey tens of thousands of individual locations in the genome at once. While it's possible to identify genes with very strong influences by tracking their inheritance in a handful of families, this won't work for identifying any of the weak influences that contribute to human height.
Height is influenced by a large number of genes, each of which on its own has only a tiny effect-there's no "tall gene." And, obviously, environmental influences like nutrition are also strong influences on height and can completely swamp the impact of genetics. There are a number of human traits that have a clear genetic influence but aren't clearly tied to any single gene. But collectively, they account for a tiny amount of the total genetic effect, and their influence is complicated: different in men and women, and different even across the spectrum of sexual attraction. Now, an absolutely enormous study has found a number of genetic sites linked to homosexual behavior. But attempts to find specific genes that mediate this influence have come up empty. Studies of twins have suggested that genetics can influence homosexual behavior, accounting for roughly 20% to 30% of its frequency. But figuring out what "innate" means is a real challenge when it comes to a complicated suite of behaviors like sexuality-behaviors that are also heavily influenced by culture. All of which suggests that it's in some way innate to the human species. Homosexuality is widespread among animals, and it's present in every culture we've looked at.