I would not recomment Baylor - agree that it is pretty unstable right now and not much of a reputation from the neuro perspective.
UT Houston - good for stroke training. . .otherwise not great. Very long hours. One resident indicated that it was not high on his rank list and was considering transferring out if possible.
Definitely check out UT San Antonio. From what I understand, the PD's husband has been sick this year, making her involvement in the interview process somewhat subpar. . .and that is a shame considering all of the wonderful faculty and research opportunities in SA. The research imaging center focuses on neuroscience, has 2 PET scans, several fMRIs, and even a freakin' 7T experimental MRI. The faculty seemed friendly and they have Dr. McGuire, Cavasos (sp?), and Benevente (sp?). Fairly chill residency - lots of time for family and that beautiful SA weather.
UTSW - great reputation - but very research intensive. A number of international grads (but accomplished int'l grads). Good if you're interested in basic science research - will see a lot of pathology and zebras. Beware that it is a very rigorous program though.