In colder weather my entire family except DD goes for Merrell Jungle Mocs. Very comfortable water-resistant hiking shoes that can be worn with socks. (Waterproof if you give them an extra treatment, but water-resistant out of the box.) DD wears Hokas but deals with the blisters b/c she can't be seen in any non-trendy footwear, it seems.)
The rest of the year we wear soakable outdoor-sports sandals, the kind designed for summer hiking and rafting. Brand differs: DH & DS prefer Keens, I like Merrells, and DD goes for Tevas. These are not flip-flops, they are serious walking shoes with the proper support in the soles, and I can walk SO much more comfortably in them for miles on hot days than I could wearing enclosed sneakers.
The rest of us flatly refuse to wear sneakers in the parks, because they are miserable when they get wet, and they take forever to dry in Florida humidity. Putting them next to the room A/C generally isn't good enough, and neither is leaving them outside your room unless you have a balcony with full sun exposure.
One useful thing, however, if you're a dedicated sneaker-wearer. Buy yourself a pair of electric travel shoe-dryers. DD carries them because she is a skater and they prevent her skates from developing nasty odors, but they are very useful for drying out soaked sneakers as well. Do the newspaper thing for 30 minutes or so and then switch to the dryers, and most any shoe will dry out overnight. (Obviously, you can only dry one pair of shoes at a time with a set of portable dryers, so if you have multiple people with wet shoes to be dried, you'll need multiple sets of dryers.)