The Argentine Digital Nomad Visa is a great option if you desire to travel within our country, having multiple entries and working remotely withouth paying taxes here for upto 1 year.
Most of my clients apply to this permit first to get to see how it is to live here and if they desire to stay longer, I process their residencies within the country on a legal status.
Regarding the issues with certain Embassies, it is true, the process is quite discretionary and some times I had to step in with legal arguments to smooth the path for the application to be approved. But everything worked out, it is all in the Law.