Hoover dam is in Nevada.
hardware.slashdot.org:Can Hoover Dam Become a Giant $3B Battery? (cleantechnica.com)
A comment explains the length of the aqueduct, It reaches the next downstream dam.
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No need to carve out a lower reservoir, it already exists in the form of Lake Mohave that is formed by Davis Dam. Davis Dam is about 40 miles downstream from my estimating on Google Maps, and looks to maintain its water level pretty much at the level of Hoover Dam's base. Below Davis Dam is Parker Dam which forms Lake Havasu.
As for letting more water through, all of the discharge from Hoover Dam currently goes through its powerhouses at a fraction of their peak capacity. This plan would use excess power to pump water back up the hill specifically so that water could be flowed through the powerhouses when power demand is high.
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So the upper and lower reservoirs and [underutilized] turbines exist. All that's needed is the aqueduct and massive pumps.
cleantechnica.com:City Of Los Angeles Wants To Turn Hoover Dam Into World’s Largest Pumped Energy Storage Facility
Oh, LA. "Forget it Jake, it's Chinatown."