This depends on the school. At mine, you could only list the ones you attended for Pref, and snap bids were not based on bid cards. Check with your recruitment counselor and/or the Greek life office to find out about your options. I'm sure they will be readily available after Prefs when ladies are signing bid cards.
I'm sorry you campus does this as it is not what NPC prefers. See page MR-52 of the NPC Manual of Information (the "green book") where they have the printed copy of the bid cardone signs. At the bottom, item #2: The Potential New Member is encouragedto list on this card names of all fraternities from which she is willing to accept a bid to membership." Perhaps you should show this to your Greek Adviser and ask him/her to talk with the NPC Area Adviser about how to begin implementing it on your campus.
You should not list the names of chapters you did not visit during preference on your MRABA. There are some campuses that let PNMs list chapters whose events they did not attend and it makes RFM more difficult to manage.
In the Jan 2009 MOI Page MR-58 #2
I may limit my choices to one or list any women’s fraternity whose preference (last) event I attended and from which I am willing to accept membership.
__________________ Alpha Chi Omega Real. Strong. Women