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Hi arbitrhand,
Unfortunately, you can only import basic Multiple Choice – Text questions with the CSV import tool.
In order to allow for Select all that apply question types, the “answers” field in the CSV would need to be formatted as an JSON array. Not a technical issue, but an ease of use issue. The amount of questions I have to answer just to help people properly format the current CSV makes me think that most people simply wouldn’t be able to figure out how to format the answers as an array.
Your best option is to import them as regular questions, then once imported, edit them to check off the additional correct answers and to change the question type.
Maybe in the future I’ll create an “advanced” import mode for users like you though!