Anyone with an interest in the estate (any potential heir or person with interest in the property to be distributed - like a creditor) may open the estate in probate. A bond is not required to do so. However, a bond would typically be required of the person appointed as Administrator of the estate. If there are adequate assets in the estate, you could petition the court to appoint a neutral third party (like a lawyer or CPA) as the Administrator. The bond (if required) and fees of the Administrator would then come out of the estate assets. This would likely increase the cost of the probate administration, but you would not need to post money up front to have the administration completed.