All that little Network program does is provide an easy interface to switch the network's 3G signal on or off, which you can change at will in 5 seconds if you need 3G to have enough speed to handle your music stream. Other users are reporting they're getting up to 150k with a 1x signal, which is enough for them to stream...but it's all dependent on how good your signal is, 3G or 1x, wherever you happen to be.
I just ran a quick test on my phone...with 1x and 1-2 bars I was able to load Pandora and listen to it for a couple of minutes without issue. If your favorite stream is a 128k MPEG audio feed, however, you'd be more likely to run into buffering issues.
Try it...you're not going to hurt anything by doing so, and if it doesn't work, switch back to normal, and keep a charger handy.