I understand your angst. Everyone wants their vacation to be sunny even though Florida needs rain like everywhere else. I know about the typical afternoon stuff. Last year I planned for 9 months and had to believe on faith our vacation would not be ruined when a tropical storm moved in.
If you use that site, just check the hourly forecast each morning. Like for today it says 60% chance of rain, but the rain isn't really expected until 2:00 this afternoon.
It might make you feel better. Still that isn't 100%. Yesterday it predicted rain from 7pm on and it rained for about an hour of that time, then not again until really late.
Rain was also predicted for about 3 hours yesterday afternoon, but it rained for like 15 minutes at MK.
Last year we had Tropical Storm Debby, which brought days of rain with no breaks and we still had a blast. You'll be fine.