In Chile you can get a Visa de Residencia Temporaria/visa permanencia without a lot of paperwork and large expenses. I heard that locals are very friendly and can help you with paperwork if you don't want to engage a local lawyer to help you.
You won't get a permanent residence if you don't stay there though. I'm not sure if you need a
certificate of good conduct from your country, you should ask google about it (usually embassy websites contain a list of all the documents you have to provide for an immigration visa)
Here is the summary of steps you have to do to move to Chile:
Step 1. You need to get the documents that prove some fixed income in your home country (it can be a rental contract with 3-4 transactions that shows you receive income for renting your property abroad), or documents about receiving money from any freelance market system (I guess with a bank statement as well).
Step 2. Then you come to Chile and apply for a Cedula National Identity Card (ID). (It will give you a right to stay in Chile long term, but not work for a local company in Chile)
Step 3. Once you have a local ID you get access to local public services (Clave Unica) and you should register online as self-employed and open an account in the pension fund AFP.
Step 4. Show (declare) the self-employment income of 1500 USD/month for 6 months (it obliges you to pay taxes + insurance about 150 USD/month). This way you can change your residence permit type (self-employed) to a local work visa/permit (so you can get a job there), as self-employed are allowed to do so. In another year after this transition you can get a permanent residence permit for 5 years and 5 or 6 years later you can apply for citizenship (if you live in the country).