place the thermometer/hygrometer in the middle of the tank or more towards the cool side, then use a thermometer with a probe to place on the floor above the hot side to monitor the actual floor temp instead of just reading the thermostat output. as for the ambient temp it all depends on your environment, and hopefully someone else can provide a better answer because i do not have one here.
you use aluminum tape to adhere the heat tape to the bottom. it is safe, those types of tubs aren't regular cheapo plastics. the thermostat probe gets sandwiched between the heat tape and the bottom of the tub.