Sounds like you're at Hilton Palacio.
Southtown is not far away. You could walk to some restaurants but will be hot. It's a quick Uber drive.
Batallion - Italian. It's a old fire station
https://www.battalionsa.com/Rosario's - Mexican
https://rosariossa.com/If you look on your map app where Rosario's is at you will see a line of restaurants on Alamo street
Hilton Canopy opened a few months ago in downtown. They have a restaurant on the Riverwalk and a bar on the third floor. Just a few some suggestions.