Having an open pool like that would be great. But everything I've learned is have a separate room for humidity, humidity, humidity and some concern about damage from residual chemicals.
IMO your plan will probably work fine, especially if you don't have a hottub. There's always compromises. If it doesn't initially work to goals, add a humidistat that triggers your ERV or separate exhaust fan, or add a sealed automatic cover, or just drain it and plant a tree
Your pool holds 3x as much water as my swim spa, and probably at least 2x the surface area. My hottub will likely give off more evaporation than the swim spa, depending on usage.
Codes and safety are another concern. When I was a kid, I probably would have jumped from your staircase into the pool... Anyways I want my swim spa and hottub recessed completely into the floor, so that makes it easy to fall (or crawl) into, so that IMO requires a separate room and self-closing door. But then again, the house is 100' from a lake so not exactly safe to let toddlers run free in general.
I'm doing everything reasonable to address humidty:
- Separate pool room with its own sealed HVAC zone (but not separate system)
- CERV with ability to remove some humidity and perform additional air exchanges based on humidity
- Thermal blankets
- Planned high air temperature (ideally a couple degrees above pool temp to reduce evaporation)
- Air routed around perimeter windows (not over the pool, which also helps to keep condensation off windows)
- Triple-pane non-wood windows (lower condensation)
- HVAC exhaust above hottub
- ICF construction and greenboard (no rotting walls or drywall)
- Possibility of HPWH in crawlspace which will reduce humidity in summer
- High ceilings (11') so more cubic feet to dissipate
- Ability to open windows and turn off HVAC (in summer)