Tim, 9 acres nuked with hydrated lime is feasible, but a WHOLE lot more expensive than an electro survey, at full pool.

NORMALLY, the lake would be drained as low as possible for 2 reasons.

First, to reduce the volume of water to a minimum for ease and effectiveness of Hydrated lime application (and lowest cost)

Second, to concentrate the live, then dead fish into a small area for removal by seining when live, and seine/dipnets when dead.

IF you would rather have your new fishery stocked as you like it, I would still lower the lake as much as possible and then nuke it. 9 acres of water will be very hard to nuke quickly enough and at a concentration to be certain nothing survived.