Hi sharron8! In all honesty, it´s really not very easy to get a work visa here. What I did was arrive in BA, and apply to every position I could find. I wasn´t picky, and had a few versions of my resume that highlighted different skill sets according to what the position required. I was also already fluent in Spanish before I arrived. I really think luck is a huge part of it. You also have to do virtually everything yourself - know what you need, talk your employer into investing in you as a foreigner, etc. because alot of companies see expats as flight risks, especially if they are not here for family or a relationship, and it is really expensive and a process for them to register with migraciones, so they are reluctant to go through all that only to have the employee decide that Argentina, or the job, is not right for them. On top of that, they would have to pay high taxes on your behalf plus provide you with medical insurance. Since it´s pretty easy for them to just hire you and pay you under the table, so they tend to prefer that.
If you are set on coming to Argentina, I would recommend coming and trying your luck. It´s certainly not necessary to have a work visa in order to work here, and I am sure you could make the most of the experience regardless of if a work visa comes through for you or not. Also, many of the positions that I came across which are expat-friendly tend to be sales positions with a very low base salary and then it´s up to you to make up the rest in commissions. Otherwise, you could always try teaching English, and there is alot of info on this site about how to go about doing that.
What type of work had you hoped to find?
