Realistically speaking, you may have a very good shot at UTH and with an acceptance from UTSW and Long, I am unsure why they have not extended an offer (are they aware of your partner and location preference). It is possible that they dont expect you to come and so they want you to deliberately rank them number 1.
The problem everyone and you have with Baylor at the moment is that they have not been forthcoming with a real process as to how they plan to allocate people other than saying they will take it into consideration. If your goal is Houston as a location and not a specific school, why would you rank them as number 1 over UTSW/Long which are great schools and being able to rank UTH and probably get the preferred location over something so uncertain with Baylor.