I lived in the Champions area for 3 years during the beginnings of the HD era in Houston, and I initially experienced some reception issues with the locals as well. My Terk just could not do the job, and I changed to a preamp indoor antenna setup that worked just great on my 6000.
As you know, all of the local antennas are located in one antenna farm in south Houston just outside of the Beltway. You are a bit further than I was, but not by much.
While I don't have a 942 as of yet I cannot verify your lack of reception from my present location in West Houston, but based upon my previous experiences with this issue from near your location, I would be willing to bet that the "right" antenna setup will be the answer for you and your 942.