The business itself need not be a sellable thing.

Sell the assets maybe, potentially to somebody who wants to use them to run the same kind of business in the same kind of location with the same employees.

It's hostile to the consumer to call it the same business. A name change gives them the opportunity to decide for themselves whether the new owner is worth supporting. It's similarly hostile to the employees to assume that their loyalties can be bought and sold. Let the new owner of the assets re-hire them for the same position in the same location if he wants to, but lets not have them be for sale.