Replace existing fan and motor with a computer case fan.
Choose one that has a low RPM rating and a decent CFM and noise rating.
Vent fans are not efficient power wise, make one heck of a racket and move very little air for the noise and current draw, in other words highly inefficient.
Computer case fans use a more efficient brushless design motor which uses less current and if you pick one with low enough speed and enougn blades will move a lot of air quietly.
You can find them in the 1200 RPM-3000 RPM range 50-100CFM at noise levels of 50 DB or less which is more air than the existing fan.. Try to avoid the 4K RPM and up, they get pretty noisy..