Father died with no will, no property, and no life insurance.

I am sorry for your loss.  From the way you phrased your question it appears that your Father left no assets and only debt.  Is that true?  If it is, then there is no Estate to file or the purpose of passing down his property or to liquidate to pay the creditors.  According to the South Dakota Bar:

"A creditor of the decedent must be paid from the assets of the estate before there is any distribution of the estate property to the heirs and beneficiaries. Determination of valid debts and payment of those debts is usually done during the probate proceedings. If there is money owed to the estate, these funds are usually collected during the probate proceedings."  See http://www.sdbar.org/pamphlets/probate.shtm

If there are other assets that can be sold to pay the debt then check with the County as to the funeral expenses.  Sometimes they have "priority" to be paid back.  You really should take all the information to an estate attorney for consultation to determine how to proceed.  If there is no estate there is nothing for the creditors to go after but it is hard to determine that from the information given.