, the reason the retailers are requesting this is due to paying with the card, it creates a paper trail, and as such, they have to issue a factura (bill of sale) with your husband's CUIT/CUIL/CDI, which he doesn't have yet.
I'm guessing the amount is over the current limit for what's called a "consumer final" factura, and since it's electronic, they can't use the dummy "John Doe" many stores will put in for tourists making say a 40K ARS purchase.
You have a couple choices:
- Pay with cash (you'll likely get a discount too as the owner will just pocket the money and not declare the sale)
- Get a CDI while waiting for your guys' DNIs
- Have an Argentine friend go with their DNI
I recommend some of the stores in Galeria Jardin, on Florida Street, across from the McDonalds, near Florida y Lavalle; I've paid with cash, USD or ARS, no need to handover my DNI/CUIT.