Welcome to the THF Snider. San Angelo is going to be limited for public stuff. Here is some advice and this will help anyone moving to a new area or traveling to somewhere in TX and looking for a place to hunt.
Google is your friend to start. Look both at your location on Google maps online and take note of every lake within the distance radius your willing to drive.
Some are as simple as putting that lakes name into Google. But a faster option is to go to the Texas Lake Finder Map on the Texas Parks and Wildlife website. The link will always be included in the sticky at the top of the migratory forum as well. http://www.tpwd.state.tx.us/fishboat/fish/recreational/lakes/
From that link look each lake within your driving distance that you took note of. You can obtain the controlling authority from each of those lakes this way.
Almost all those lakes hunting allowed or not have the respective rules for each lake somewhere online. Some of those lakes will be corps of engineers, some are water authority, some TPWD, Some city lakes, etc.
There is a PDF on the corps website that gives the basic regs for each of their lakes, TPWD lakes under the APH permit are on the TPWD website in the APH book pdf, Most cities and water authorities have ordinances online that you can read through and find the hunting rules. Check the links in the sticky at the top of the forum or go to the main website of each controlling authority and click through to each lakes page or ordnance.
If that information is not online for a particular lake, use the contact information from the Lake Finder site and contact them directly. Many will be dead ends that don't allow any kind of hunting, but sometimes you will find a small city lake that even those local to it don't even know can be hunted. For example I have found a lake previously closed to hunting that is now allowed. And I have found an entirely new area opened to public hunting that only insiders know about. So don't rule out the smaller lakes on the map. The only way to find the good secrets is to contact the controlling authorities directly and ask.
Extend you driving radius to overnight trips from San Angelo and you may have some real unique places to try hunting that are just too far for the majority of urban weekend warriors like the Bluff that is Red (coded words) that is a water authority lake that TPWD leases for their APH permit about every other year and the AM stad (code worded) which is a national recreation area. You will see those large lakes on the map 3 to 4 hours away from you.
I am tempted to spend some time hunting the Bluff that is Red later this season just to be different. But in September I will be Teal hunting the Bluff with Cedars in KS. And that is the true secret to duck hunting if your in Texas. Instead of spending your time camping out on an Urban lake to defend your spot all night, spend that time driving. Get far away from Urban areas, be willing to cross state lines, and you often will have entire lakes to yourself.
Final word for your situation. Most of the lakes in your driving radius are going to be very low. Get a low profile layout blind if you don't have one. And divers are just fine for sausage makings. Good luck this season.