Looks like my Argentinian visa has worked out. I went today with the letter from the Indian consulate, and the visa official had no problems. Due to an agreement between Argentina and India, I didn't even have to pay a visa fee. The only question he asked me was "What does Shanti mean?". He's heard the term "Om Shanti" a lot, so he was curious about Shanti. He spoke English so for a while we were just chatting about Brazil and India - football vs cricket, Amazonas vs Himalayas. It'll take a week for it to get processed, but hopefully there won't be any problems - they'll call if they want something else.
After this, I have to deal with the French consulate. I've decided to head back to Paris after Argentina. I'm running out of money, and also feel that Buenos Aires will be a nice place to finish my South America trip. Chile and Patagonia are places I would love to explore, but it's the wrong time of the year and I don't think have the money or the energy to travel more. I still have 2 months left on the grant/contract I had in Paris, so I've decided to use it for the rest of the summer. I should be back in Paris, hopefully, by mid-June.
Still haven't received my documents from Paris to apply for a new French visa. It's going to be touch and go again.