Maharashtra State Board has clearly mentioned that it will not facilitate any change of exam centres. So unfortunately this option might not be a possibility. It is understandable that it is difficult to travel on the day of the exam but as the board doesn't facilitate any such option of changing your exam centre, you may have to travel a day ahead and check the feasibility of accomodation. It might be frustrating and difficult, but that is the only option.

CBSE allows change in examination centre. The change of an examination centre from one city to another may be allowed to the candidate by the Chairman only in case of transfer/migration of his/her parents. No change of centre shall, however, be allowed within one month of the commencement of examinations.