Free Shipping freeshipper is specifically for a 0 weight order or an always free shipping order ...

Free Shipping Options freeoptions is to allow for Free Shipping to show at the same time as all other shipping methods to give an alternative ...

Are you trying to allow for a Free Shipping alternative to, for example, USPS or UPS to show at the same time *except* for those outside the defined Zone?

Or are you trying to have Only Free Shipping without any other alternative shipping method for all customers within the defined Zone?