Here is what I think (today, anyway):
June 15: Visitation at nursing home, argument with Cindy, murder of Caylee. I do not believe CA tucked them into bed that night.
June 16: KC moves in with TL - no Caylee in sight. (I believe the body was wrapped in the garbage bags it was eventually discovered in) and placed in a cooler in the back of the car with ice. This also happens to be the day KC is filmed renting movies with TL.
June 17: At this point, KC is starting to tell people her car has 'broken down' and she is seen driving TL's jeep (for three days - from June 17 - June 19th). She doesn't want to drive around town in the car with her garbage-bagged daughters body in a cooler in the trunk. This day is critical, however, because the neighbor (Brian B - who is home on vacation from 6/17 -6/21) sees KC back her car into the garage for the first time. IMHO it was to refresh the ice in the cooler. Interestingly enough, this is the day that the real ZG visited the Sawgrass apartments.
June 18: KC borrows a shovel from the vacationing BB at 1:30 pm. KC returns the shovel at 2:30 pm wearing the same clothes, and the shovel is not dirty. Weather for that day - heavy rain. I think she borrowed that shovel with the intention of burying the now-three-day-old body, but due to the weather and her nerves, she chickened out.
June 19: KC and Tony meet about leasing an apartment together. KC does not have her ID - left in the car with the cooler and her daughter's body??? hmmmm....
June 20: Car backed into the garage for the third time - again heavy rain. She had run out of gas, and AL had to take her to get the gas cans. Heavy rain again. Where the heck is the car when she isn't backing it into the garage??? Where was she parking it?? I think she had to keep backing it into the garage in order to replace and refresh the ice in the cooler. I think the cadaver dog hit in the back yard is where she dumped the ice/melted water from the cooler. I believe this is the day she dumped the body. It was raining and she was getting tired of removing the melted water from the cooler. I think the melted water is what eventually ended up stinking in the carpet of the trunk. Additionally, the cell phone pings indicate that she was close to the Anthony house from 1:44 pm until 2:18 pm that day. Before and after those times, she was near AL's apartment.
In summary - body dumped between 1:44 pm and 2:18 pm on June 20th.