Let me add some more data points for context here. First, I think the OP's 1.36 KWh/mile number is probably just what he (she?) was seeing at the start of the trip. Cooling down the car in a 90-degree Florida day takes a ton of power, and I regularly see over 1KWh/mile for the first mile or two of a trip. As to what an older 85 will need in Florida, at 60mph and alone you should expect about 280 Wh/mile. At 80mph with four people in the car, such as when taking the family on a trip, I see 400-420 Wh/mile.
I had the kind of suffering the OP underwent once or twice in my early ownership. Seems like user error to me, though totally understandable. On a trip like this, I make sure to stop at Superchargers until I have at least 80% charge (the last 20% takes a lot longer), and plan ahead a little to ensure I'm never waiting for a 110V outlet to fill me up at 3 miles of range per hour. Check ChargePoint and Tesla to see which hotels have charging for you. As a Plan B, know which hotels you could go to for dinner and have them charge your car while you're there. And as a Plan C, I have a ChargePoint membership and have often used commercial chargers. They're slower and less convenient than overnight L2 charging, Tesla HPWC or Supercharging... but they beat the pants of 110V!