How do I schedule a task to run once any time within a time range?

and also, just once in a day without specifying a time?

can windows task scheduler do it?

and specifically, if my computer is off or on standby or hibernation at the time I want it to run it when it is on if it hasn't been run that day and the time has passed.

I see an option to wake it to run the task , but could I then put it back to sleep? And i'd like to be able to as mentioned.. let it run when the computer is back on.