I was going to say it was not a cougar- I've seen them live in the wild, dead on the hood of pickup trucks in hunting season, and used to visit the last of WSU's real cougar mascots frequently- but you're far enough south that you might be seeing a young
Florida Panther (
Pantherus concolor coryi) and they're different from the ones up here in the upper left hand corner which are bigger and more robust, with no coat marking as adults or subadults, so that objection vanishes.
Looks like you may have a subadult cougar near you. Which is wonderful, and terrifying.
ETA Upon further reading and inspection of the photos at 250, I retract that: much too small. It's also way too big for even a big (20lb plus) feral housecat, so an escaped exotic is more likely. I am unconvinced by arguments to historic range, especially based on something like the
Peterson's Field Guide- that's fine for common
modern range maps, but there are archaeological specimens of Pantheris concolor in all of the temperate and montane New World, and individual animals (especially subadult and young adult males looking for vacant territory) have been tracked travelling hundreds of miles. Neither would I be the least persuaded by any argument having to do with aversion to human settlement: I've found footprints in my suburban driveway and in the dust on top of a pickup canopy (in the Olympic NF) where I had slept the night before, and they've been trapped in parks in cities.