Plenty of ways to skin that cat. None of them that cheap that I know of. Just about all of them would require a sparky. Something like this though a sparky could install quickly and cheaply (well not including the cost of the outlet) onto an existing dedicated 15a circuit.
Some hydroponic shops sell custom 15a timers for high power lighting, or can get the sparkie that does their normal 10a timers to modify one to 15a for you