What is the room temps? what are you using to measure the temps? I am having sorta a hard time warping my head around you having a 20 degree gradient in a 15 qt tub in Florida in the middle of the summer. Don't add another heat source to the cool end this is asking for trouble. It will be fine for now, look at it like this 70 degrees isn't exactly comfortable for the snake and as long as 70 degrees isn't the highest temp in the tub the snake will thermo regulate to were it feel comfortable. A few hours of the cool side hitting 70 at night isn't going to give your snake IR. What are the room temps day and night how much flex watt coverage do you have on the tub what kind of thermometer are you using and is there a fan blowing in the room is the tub less than 12 inches off the ground. So I think answering these questions will help set your temps right.
Chuck