Regarding Parguay, please note that Paraguay recently changed their law. According to that, you can be considered to be a Paraguain tax resident, ONLY AFTER you obtained permanent residency. And for that you can apply for only after 2 years of temporary residency (or 3 month before it would expire, if I remember correctly).
So that path would not change your situation in a short period.
However, Paraguay also offers a residency by investment program, and if you fulfill the criteria, you will get immediate permant residency with it, thus entitle you to obtain tax residency, too.
I'm not sure, if there is a (legal)︀ way to go around the 120 days minimum stay requirement, though.