If you don't have a DNI, the only way I know of that you can apply for Argentine citizenship is through a lawyer, preferably one with enough experience to know the "easiest" jurisdiciton in which to apply.
As Bajo_cero2 (a lawyer who specializes in citizenship for foreigners without a DNI) indicated, ownnig real estate in Argentina is not a factor in obtaining citizenship, while living here "most of the time" is.
A lawyer could present your application to the "easiest" jurisdiction soon after you arrive in Argentina (even as a tourist), but, if you "won't really stay here" for at least "most of the time" for the following two years, there won't be any point in applying in the first place.
If you have no desire (and aren't willing) to stay in Argentina for most of the two years it would take for you to get citizenship here, and if getting another passport is your top priority, I suggest you search for a country in which buying property will lead to citizenship there.