How best to deal with estate assets if there is no Will?

Question Details:

Mother passed away recently -  with no Will, no assets, just credit card debt. We would like to take over her car loan. Her auto lender will transfer the car loan to our name if I am named executor of her estate. She has no property or assets. Just credit card bills. Her largest credit card company (owes $11, 500) tells me if they find that she has an estate, they will go after the balance. Can I be named executor after a death? If I can, will the partially paid off car be considered an asset that the credit card company can go after? Is this a good move for us or should we just let the auto lender repossess the car? $15,000 is owed on it but we are willing to take over the loan. We cannot pay off her credit card debt.

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