I have a Satellite C655-S5540
There isn't any switch on this one to disable the touchpad, I've actually never seen a switch to disable the touchpad on any laptop before..
I've seen switches to turn the WiFi adapter on & off, but never the pad.. lol
I doubt it's the driver either, but it won't hurt to try. Maybe you'll get lucky?
To navigate & open the browser without the mouse, push the button next to Function (Fn) and Alt - The one with the Windows logo.
That will pull up the start menu. Then use the arrow keys to get to your browser, then push Enter to open it.
However I agree with CoD - I also use a wireless USB mouse when I'm using the laptop at my desk. The only time I use the pad is when I'm "portable" I guess you would say.
If you have 15 bucks laying around, head to best buy or walmart and buy one to use until you get the pad fixed, it's better than nothing, and in my opinion, better than the touchpad altogether.. lol