There are ongoing repairs occurring while the ship is in the water using cofferdams. As it is, the Texas would not survive a tow to a shipyard. The shipyard that repaired her in 1988 is gone and the closest drydock that can handle her is in Pascagoula, Ms and she barely survived the trip to Galveston in 1988. She was taking on a lot of water when she cleared that drydock and only had 6 inches to spare when she did.
One of the major structural focuses of the ongoing repairs is to frames under the engine rooms midships. Her frames look like swiss cheese (and I'm not talking about the intentional lightening holes) and couldn't support her weight, whether drydocked or dry-berthed. Dry berthing is still the long term goal.
Here's a recent update from TPWD
Battleship Texas Project: Structural Repairs and Dry Berth - YouTube
Here's an article that is from May, but is still indicative of the current situation:
USS Texas repairs underway, but that won't be enough - Houston Chronicle
There are pictures of the frames in the previous Texas thread: