Keep in mind that Copano rv park is on the water, parts of it, and the water is not a beach but a shallow bay. You cannot swim or such there, Ancient Oaks is within 1 1/2 mile to the Blue wave beach and is a great park area. Fishing piers are within 1/2 mile of Ancient Oaks. If you go east of the beach, and that includes most of the parks in the Fulton area, you will not enjoy the fishing. You could fish the pier at Compano bay but need special equipment to get em out of the water and up to you. There are two city piers in Rockport and you can and will catch lots of fish from them. Trout/reds/ and fishermans choice . There is another in the city park and at the end you can fish from the bank and catch anything you want anytime.
When you get tired of that, go over to Mustang Island and fish the ship channel. take a lot of weights. Or fish the waterway right off the ferry. Its free either way, 24 hrs a day.
Take the highway to Sinton and fish the back part of Compano Bay.