ASHRAE specifies an ACH (air changes per hour) rate of 4 ACH for indoor pools (heated or unheated) with light use, or what HVAC engineers refer to as activity factors. The goal here is to remove both moisture AND chloramines, which the air becomes laden with. When the chloramines settle on surfaces, they can begin corroding metal and causing other issues. Build-up in the air itself can also cause respiratory irritation.
Since your ceiling is vaulted, taking the average of the two heights gives us 9 feet. 20x16x9 equals 2,880 cubic feet. To achieve 4 ACH, you need to exhaust and replace your air at a rate of about 200 cubic feet per minute. Often the supply rate will be designed to be a little higher to ensure adequate fresh air. There are several ways you can achieve this, but I think you’d be best off consulting an HVAC company that has an ASHRAE-certified engineer. They can take additional things into consideration, such as evaporation rates. Fortunately, given your small space, you’re not talking about relatively expensive air exchange needs.