If you're comfortable with a bit of mess, you'll enjoy activities that add to your child's day. It'll bring laughter to you both. Take part and interact.
If the sun is shining and it's warm, a sprinkler can provide a way to cool down without the safety concern of a pool.
Ice cubes are a great hit. Children love plastic animals frozen into larger ice cubes, a little water, and regular sized ice cubes. The delight on children's faces as they feel the cold, capture the animals or objects in the container along with the ice is a sensory delight. Perhaps you have a child-sized hammer that can be used to break the larger ice cubes and rescue the objects frozen inside.
Whether you're indoors or out, box play is imaginative play. Maybe a local store can provide you with some boxes that are large enough for your child to sit in or alternatively stack.
Cardboard or plastic tubes create fun for cars or balls to roll through. Tape the tubes to a tabletop. In a basket on the table, include items that will roll through the tubes while not cause choking if put in a child's mouth.
Use foam pieces and shaving foam to create a sensory experience. On a tabletop or even in a plastic container on the ground, use cut up pieces of solid foam and pool noodles. Add sensitive shaving foam for interactivity