Hi Darrell,
First off, spur gears are about as noisy as a gear-train can get. Robust, but noisy. The ratio is not that great a stretch for a small worm-drive gearbox. Tons quieter and all done in a single gearbox with just two working components.
II would suggest driving one output shaft directly then chain coupling the other to it. Use a chain tensioner on the return side to maintain good load sharing and you are done.