Well, you'll need photos of water from other pools, I figure. Either look through your own library of photos, or go to some stock websites to see if they have suitable ones.
Sorry, I need a better explanation. Fill in these blanks:
"My screen is __________ (colder/warmer) and ________________ (brighter/darker) than my prints"
Of course there is. Either the Spyder5Elite or the X-Rite i1Display Pro are more powerful.
But I am worried about this. I'd hate to see you buy a more expensive calibrator, only to find the same problems. It just sounds like a poor screen to me.