I grow it outside mounted. If you can meet the watering requirements of a mounted plant, it does grow well that way. It is one of the group that used to be Sophronitis. Current name is C. wittigiana - Kew doesn't even list C. rosea as a synonym, so it's been awhile since it went under that name. (If you want to determine the currently-accepted name for a species, go to the
Kew Checklist (which tends to be unforgiving but it'd the "authority") or Orchidroots.com (which seems at the moment to be having problems).
Note that most of what used to be Sophronitis prefer to be more on the cool side - relatively high elevation, central and southern Brazil. C. cernua is probably the most warm-growing of the group. In general, your biggest challenge with this Sophronitis group will be Texas summers. They can put up with hot days if they can cool off at night. But that's the case for a lot of orchids.
Cattleya (Sophronitis) coccinea is the most-used of this group for hybridizing. It's in the background of many of the mini-Catts, especially the red ones. C. wittigiana has not been used as much, but there are some lovely hybrids with that one too. (Again, Orchidroots is a good place to learn about parentage)