i'll add to that with a similar question:
I have an "I" Visa, or journalist visa, which allows me to go to school and train for anything. I'm actually attending an Aviation college right now to complete my fixed-wing training. However, there is no Part 141 Helicopter school in this area. Since my visa is not restrictive and includes any school, could i also use my visa to gain Part 61 training for a helicopter rating?
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Btw DXman, i think i can answer your question. I'm fairly sure that F1 visas restrict you to a specific school and to a specific program. So i do believe you would have to get another authorization from the INS to engage in another education program.