The San Louis Hotel is not really close to San Luis Pass (SLP), but in case you want to go there, heed the warning above; dangerous to wade near there.
Any stretch of beach along the Gulf Coast of Texas can hold fish. It is just a matter of finding the right stretch. Like said above, you can drive along, look for birds and then fish that area, but you need to be set up to relocate without changing in and out of your wet clothes. We called that hit and run fishing - drive the beach, see birds and/or bait busting, get out and fish then move to the next spot. Everyone I know has too nice a vehicle to do that anymore.
Rock groins are up and down a lot of the seawall. They are small jetties and are popular places to fish. Whiting, sand trout, specks, reds and the occasional jack crevelle or pompano can be caught from them and you don't have to get wet.
Surfside jetty. This is a long jetty and almost half of it has a nice paved sidewalk on it. Great fishing, but big crowds of pushy and cantankerous people.
We're just entering the fall bull red run, where the big spawners pull in close to the surf near passes to release their eggs to be fertilized and then washed by the tides into the bays, so there may be some early arrivals. A big surf rod, a heavy weight and some cut bait (mullet is good but any fish or squid will do) can yield some fun times catching these behemoth spawners. You won't want to keep the one you are allowed unless it's barely over the 28" mark and you like eating big redfish.