Admission / Waitlist Question?

So I have been fortunate enough to be admitted to a couple of schools now (Columbia, Chicago, and Yale). I was placed on the waitlist at HBS and won't find out if I get an interview until mid February, and should I be interviewed I wont find out if I am admitted until late March. The problem with this is I need to give a yes/no and an initial (non-refundable) deposit to the school's I was admitted to basically by the end of February (ranges from Feb 20th to March 1st). So my question to the forum, is how do I manage this process? I realize I really can't go wrong with any of the schools I have been admitted to so its definitely a high-class problem, but I am just wondering if I want to find out from HBS do I say something to them (everything I have read on managing the waitlist process basically has said only contact the AdCom with a meaningful update i.e. promotion, higher GMAT score, etc. with no mention of admittance to other schools) or do I just pick from where I have been admitted and should I still believe HBS is my #1 then roll the dice on them and risk forfeiting the initial deposit at the other school.

Any advice would be greatly appreciated.

Thanks.