Let me clarify a few things. I've never heard heat pumps giving the kind of numbers you are talking about. Your post mentioned a ductless split system. A ductless split system is not an option for a 1,000 sq ft unit, which I'm assuming has multiple rooms. Ductless splits are for single rooms.
Most heat pumps transfer to auxillary heat between 37 to 40 degrees. The HVAC industry always has indicated that the line for heat pumps was roughly where ky and Ohio meet. Anything above that line is considered too far north for heat pumps. Lots of factors go into that, such as what your local electric rates are vs gas rates, but as a general rule of thumb, you're better off sticking away from them north of that line.
Here is a link from the department of energy that shows the correct temperature that heat pumps become inefficient.
http://energy.gov/energysaver/articles/air-source-...
I can tell that even here in ky my largest bills by far come from a duplex with heat pumps. In NY, you would be crazy to use a heat pump.