You're welcome.
Yes, you can apply for Argentine residency in Argentina if you come on a tourist visa.
Dr. Rubilar has repeatedly stated that the process may be started in some courts after the first year. This could be an important factor in where you decide to live.
It depends on the court that is deciding your case. Some apparently ignore this requirement while others strictly enforce it.
Get temporary residency (with the DNI) and, depending on the court that has jurisdiction over your domicile, begin the process as soon as possible.
PS: Don't forget that you'll need to demonstrate that you have an "honest means" of living, even if you are not working en blanco.