@houckman
Golden Visas and Golden Passports are a VERY expensive way to get residence outside the USA. Many countries have much more accessible options for retirees. For example, Panama has the Pensionado Visa, while Portugal has the D7, and Spain the No Lucrativa Visa. I suggest you look more seriously at these as they have minimal fees. And you can use your savings to buy a property, rather than an immigration document... as it's hard to live in a passport. :-)
While they start as temporary residence (maybe 1 or 2 years in many cases), they usually have a straightforward path to Permanent Residence (i.e. keep living there, keep getting your pension). EU countries typically grant you PR after 5 years, and this PR status is pretty much renewable indefinitely with minimal aggravation. I got my Bulgarian PR last year, and the permit is valid for 10 years... but it's renewable pretty much on the basis that I'm still alive and can go to the immigration office to ask for it.
In most places (and certainly in the EU), your residence permit/visa allows you to get permits for your family with your original application, or separately via Family Reunification.
The exact rules on "family members" vary from country to country, but typically include spouses and minor children. My guess is that many countries would accept adult children too, if you can demonstrate that they are financially dependent on you, and/or that they require ongoing care/support. You'd need to check on the specifics.
For example, I recently imported my father (96) to Bulgaria, via Family Reunification, on the basis that he has medical issues which necessitate 24-hour care.
In terms of country recommendations, lots of Americans love Latin America, due to cost and geographic convenience. The favorites are probably Mexico, Panama, Costa Rica and Nicaragua... but you can do Argentina, Brazil, Uruguay and Chile too. I think publications like International Living are big fans of South and Central America.
The non-EU options might be Switzerland, Dubai, Andorra, Serbia, Turkey and many more. Turkey has lots of fans as it has lovely beaches, a low cost of living, and very easy immigration options.
My preference is the EU, in part because of the high quality public health systems and portability of benefits (EHIC, S1). Some popular expat destinations are Spain, Portugal, France, Cyprus, Bulgaria. I have residence permits for Bulgaria, Cyprus and Spain... and all three are good choices (although we now mostly live in Bulgaria).
The world is your oyster, innit. :-)