In all honesty, if I was contacting someone who was not a professional I would not expect to pay the "going rate" of what professionals make. I'd expect to be paying less - for the limits on experience and product available.
Under normal circumstances, I'd agree. But if I had neglected to schedule this with a professional, and was looking for somebody to save the day at the last minute, I'd expect to pay the going rate at a minimum. This isn't a case of a hobbyist going out trying to drum up business.

