I would check your contract language again.
Franchise I worked for had a two year noncompete, but all it prohibited was the cleaner working for any of their existing clients for two years. Pretty sure no company can prohibit you from going to work in your field if you decide to quit.
Incidentally, my company did have a couple girls go out and solicit business from their clients but I am pretty sure that the franchise won't go any further than having their lawyers write them a nasty letter. Franchises usually won't spend the $$$ to follow through with a suit unless you're a big mucky muck with rare skills or deep trade secrets.