Parks In (Preferably South) Houston Without Swings?

I have a toddler who only ever wants to swing when we go to parks. If they can see them, they refuse to do anything else.

We can bargain some actual active play on the playground with the promise of swings, but I know it would be way easier if there were just no swings at the playground. It does no good if the swings are far away from the playground but still on the premise – our toddler will find them and fixate on them.

Does anyone know any playgrounds that are swing-free? I'd really appreciate any recommendations!