That's the white-noise you use? That's nothing like a dedicated white-noise machine - it sounds like annoying static to me...
Here's what I have and I thoroughly recommend it:
http://www.amazon.com/Marpac-Screen-980A-Electro-Mechanical-Conditioner/dp/B000BQYP1S/ref=sr_1_1?ie=UTF8&s=hpc&qid=1253656127&sr=8-1A proper white-noise machine doesn't sound like static; it sounds more like a forced-air space heater. And you don't 'tire' of it - your brain adapts until you don't even notice anymore. I have a well soundproofed room but I still sleep with mine on, every night.
Give it a try...