How can I make my guitar sound like a b?

I have a cheap Fender Squire with an even cheaper amp. I play old school punk, kinda a fuze between Misfits and Bad Brains, so I like the low quality sound. I record with a $2 mic hooked up to my computer, and the recording software is Audio Recorder For Free. With that being said, is there a way I can turn my guitar into a b for overdubs? I don't mind if it sounds like s**t, if it does it's actually better. I have a Boss DS-1 distortion pedal, which enables me to get a lot of heavy b out of the low-E but it still doesnt sound quite like a b, more like a guitar with a hand over its mouth. Any suggestions?