Turtles do have individual personalities, and yours sounds like quite a character. An adult female can be up to 16 inches long, but 11 to 13 inches is average. The basking area just needs to be big enough for her to lie there without being crowded, and the temperature should be 85*F to 92*F. Water temperature should be maintained in the 70*s. You can use a submersible aquarium heater to do that. You don't need a specific type of basking light. Any sort of lamp that will take a 40-60 watt incandescent bulb is fine. If you live in an area that has farm stores, you can buy a clip-on metal light fixture made to keep baby chicks warm for just a few dollars. Don't buy the accompanying bulb, however. You need an ordinary incandescent bulb in the basking light. Hardware and home improvement stores sell similar light fixtures as work lights. You can adjust the temperature by raising or lowering the light fixture, but don’t put it so low that your turtle can be burned.
As for tank size, the bigger the better. 90 gallons is considered the minimum for an adult cooter, but it's always recommended to have the biggest you can afford and have room for. The swimming pool visits are fine as long as there's no chlorine in the water. do keep in mind that turtles often carry salmonella bacteria without being sick themselves. This could pose a risk to humans, especially children, the elderly, and those with compromised immune systems.
Running around the house is once in awhile all right, but it would be best to watch her constantly and to keep the amount of time short. Believe it or not, I've had people who want to know how to find their pet turtles after they escaped from the house, and that's not an easy task. There are two species of cooters native to Florida. Their care requirements are similar. I'm going to give you links to further information on both:http://www.austinsturtlepage.com/Care/cs-flredbelly.htmhttp://www.turtlepuddle.org/american/cooter.html
Many cooters have lived for 40+ years in captivity in zoos where they've been provided optimal habitat, so yes, that number is XXXXX If you need anything else, let me know.