Go to WalMart or wherever and get a 1500 watt oil-filled heater. They aren't more than $40. They are very safe. I use mine in my snake room which has carpeting and it's fine. These don't dry out the air like forced-air heaters do.
If you have a Johnson Controls or Ranco thermostat, you can hook up the heater to that and it will be even safer.
But really, all you need to do is cover the tub up with a thick blanket or pillowcase. This will insulate it better and you won't lose as much heat.
You can always point a red bulb at the tub and keep it on 24/7. Home Depot, WalMart(the cult), and Lowes have red flood bulbs for around $5. That would help bring your ambients up.
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