My question is whether there's any place on earth where $1500/week could allow five roommates to live very comfortably--perhaps not as boss-like as I described above, but maybe at least the big house and property.
Eh?

That's probably only possible if you go to some really tiny place like Guatemala or the Cayman Islands, not anywhere else.
Besides, I suppose that the entire ChipMixer and Foxpup (if you're willing to go that far) subsidies would be swallowed by rent, insurance, gas & utility bills in a single month, including if you live in a 3rd world country. [I mean, let's assume that you are paid +0.01
BTC per week by Foxpup - that doesn't amount to more than $1200 on an average day.]
<and how does one go about getting citizenship?>
Impossible, unless you a) give up your current citizenship and apply for another one, or b) you invest your way to a passport like Malta [both of these completely out of the range of signature campaigns in general].