Reddit reviews Sharper Image Portable Travel Sound Soother 20 with LCD Alarm Clock + Thermometer (SI601)

The two things that helped me most were light-blocking shades and a white noise generator. You have the shades, obviously, but try some sort of white noise. You can leave a fan running, get an app, or buy an actual physical machine (I've done all three). I've had so much luck with white noise generators that I've bought them for most of my family and friends (even the day-shift people) and helped them improve their sleep as well :)

If you get an app/machine with multiple sound options: Listen to the sounds carefully and eliminate any that bother you on any level, even if it's something as minor as being ever-so-slightly in a key or a pitch you don't like, or a "heart" beating a, little too fast. For any surviving sounds, you may need to try them out. For myself, I've had the most success with a thunderstorm setting: the constant background "rain" helps mask little everyday sounds, while the intermittent "thunder" makes me a lot less susceptible to waking up for bass noise (lawn mowers, vacuum cleaners, trucks, car exhaust, etc).

What I've used (that I remember):

• a fan.
  
• My old desktop PC with the side opened up so the noise from the fan was louder.
  
• The original versions (both desktop and travel models) of the Sharper Image Sound Soother 20 [I don't like the newer models (the pitch is off on thunderstorm); the ones I've linked look like my machines, but I've not compared the actual model numbers].
  
• A rip of rainy mood set to infinite loop.
  
• And TMSoft's White Noise Player (the site's down for me, but downforeveryoneorjustme.com is reporting that the site is up so you may have to double-check the link). TMSoft's app is really nice: you can play with pitch and mix your own combinations and stuff.
  
  Good luck!