The Rubbermaid has a feature where it will flush once every 24 hours since the last Time the sensor detected something in the room. I don’t know if that made your use case.
Most manufacturers don’t want one that’s just done a regular timed schedule because they don’t want it to flush while someone is using the toilet, that’s one of the big complaints. And once you start trying to override The schedule with the sensor everything becomes more complicated and more expensive.
Do it yourself scheduled actuator
it should be pretty easy to build a schedule – activated actuator that moves into the sensor zone and then withdraws again, especially for the touchless Devices which are activated with a hand wave over the top of the tank, but again you would be introducing the possibility that The toilet would flush while someone was using it. There are ways around that by having a second Detection sensor which would deactivate the actuator (which is a lot easier to set up then trying to deactivate the auto flush sensor itself).
So you could definitely do it with the right combination of equipment, and I don’t think it would be too expensive, but the trick would be to keep the actuator system completely separate from the auto flush system. Essentially the actuator just does something that physically triggers the auto flush system, rather than trying to network the two together.