No, you don't have an X2. As you didn't find a chip then your box is almost certainly TSOP flashed.
That's good news, because it means that the next step should be really easy. Take a spare IDE drive, set it to master, and plug it in to your Xbox. Cold boot your Xbox with your boot disc in, and it should load. As you don't need to lock it any IDE disc should work.
Now, get a copy of Slayers and burn it to a DVD-R. Read the manual that comes with it. Cold boot your Xbox with the Slayers boot disc, and follow the instructions for option 3 - New Install / Full Rebuild.