How can I structure this question to check for availability bias?
it seems that you can use randomization of options to decrease bias. That is, present every respondent with multiple choices but in completely random order.
Also, bias might be directly tested on two groups, say A&amp;B.
Only difference will be the order of available answers.

This manual seems to be very helpful: Handbook of Survey Research, Ch.9 Question and Questionnaire Design

This is shorter insight: SurveyMonkey Blog: Question Order Matters