I did a bit of searching my self, and found a program that I've heard about Visually impaired people making use of before; it even includes information about screen readers on the product's page.
It's also cheaper than Soundtap or VAC, and simpler, since it focuses specifically on audio recording and not additional features such as editing, video capture, or network streaming.
It's called "Total Recorder Standard Edition" and it's only 18 dollars, which is pretty cool... The Professional Addition has some extra features that you may find useful later, but aren't really necessary for what your thinking of doing; either way, you can upgrade later for a reduced price compared to just buying it outright, and there are payed and free add-ons that give you extra functionality, including internet streaming, the ability to use the O-G-G file format, and more.
I may even consider buying it my self at some point, since while I can already record through stereo mix using Goldwave, this would be faster and simpler to set up, plus it would take up less of my system's resources while in the background.
Here's the link.
http://www.totalrecorder.com/productfr_tr.htm