Sadly, I think it's going to make things really difficult for you. The admissions people will be the best people to answer your queries, though they might try to fob you off with the generic 'you must disclose and it is at our discretion' spiel. Try to call up, real life people are often more helpful. The abroad option is a decent one, if you can afford it. Otherwise, you lose nothing by applying and putting something else as your backup, if you really want it - but yeah, your chances are going to be affected.