Car Rentals w/ debit cards....need advice

[minster22]

We have recently closed our credit cards and paid them off with a home equity loan. We will be using a debit card to rent a car (DH going to Daytona so ME not an option). We are concerned that a credit check may not come back favorable since the cards in question although paid will not be off our credit report before he goes to MCO. Anyone with experience doing this? Our credit is good (not great due to high debt to income ratio but no late payments on anything)and we will have plenty of money to cover the hold on our debit card.He is renting with Dollar since they have a Daytona location and I will be renting with National later in March.Am I being overly concerned here?