He won't continue to pee there. Cats are naturally fastidiously clean animals, even wild ones. Big 50-pound bags of litter are the cheapest in the long run. Also, the large granules won't stick to their paws like the expensive fine-grain stuff. If you have a garden, just sump it on, and turn it into the soil in the spring.
Cats are no different.
The important thing is to do what HE wants to do, not what you like to do. Nylon parachute cord is perfect. Pull it around on the floor slowly. Other good toys are large paper bags and cardboard boxes. My observation is that a cat wants you to be the boss, just as dogs and kids do, within reason.