Yes! Budget car rentals are available at many airports around the U.S. Simply contact the airport which you plan on using, or Budget themselves to find availability.
"Yes, there is a Providence car rental at the airport. In fact, there are several rental options at the airport and they offer many types of cars for various prices."
If your thinking of renting long-term, you may want to consider just buying a cheap car off eBay. A great place to view local cars for sale on Ebay in the Orlando area is...