Any chance you know anybody who could recommend their own doctor? A specific recommendation is always better than a list. Because, like other people said, many individual doctors are willing to work with the occasional transgender patient, even if they don't come up on any lists. The medicine of trans care isn't hard, and it's very standardized-- any doctor who's willing can learn how. A lot depends on where you are, though, and if there's not a culture of LGBT acceptance it's a lot less likely that you'll be able to find someone local. You'd probably have better luck with docs larger or university-based systems, because they're usually more liberal, more up on the research, and more willing to try new things. And even if your current (not so awesome) doc is in a system like that, don't write off other doctors from the same group. Switching doctors in-system is totally OK. Switching in the same physical office is sometimes awkward, but tolerated unless the group has a policy against it.
If you end up having to travel, have you looked into other transportation arrangements? Bus, carpool-- even try calling the doctor's office and see if they have some contacts for low-cost transport? Not having a car is a common problem, and some medical systems or insurance companies have programs to address it.