I also live in Central Florida and I can tell you BP's require heat year round.
1. Here in central florida most of the time you shouldn't need to use a space heater (as long as the room is above 75 degrees) I just use flexwatt to heat my cages.
2. Placing the probe in the tub will result in the most accurate temperature regulation but placing the probe on the heat tape/ heat rope is the safest method. Personally I place my probes directly on the heat source.
3. The new Herpstat models have multiple failsafes to prevent a thermostat failure in the ON position. Herpstats have the same device used in surge protectors (a fuse) Because of this a surge protector isn't really useful. I would just use a power strip without a surge protector built in. If you are really worried you can set up a second thermostat to act as a failsafe.
Like so:
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