Like PAToyata said, paving equipment isn't generally available for rent mainly because it is so expensive and specialized.
As long as you have access to a bobcat to do the prep work, you might break even by doing pavers. It's hard to guess what they would cost compared to concrete in your area becuase there are so many styles available. The problem with pavers is that I think most of the manufacturers are in Northern states. Unilock for example has plants near Chicago, Detroit, Cleveland, New York, and Ontario Canada. Truck freight to Florida for them is outrageous.
Then again their might be local manufacturers. If you want to go that route, talk to landscape suppliers in your area and ask two questions:
Do they have material that was ordered and cancelled by the original purchaser that they want to deal on? You might have to go with a couple of colors but they can be blended or patterned.
Do they know of a product / color that is about to be discontinued that needs to be sold to make way for new product?
I still think the concrete apron and the rest in gravel is your best bet for budget reasons. Assuming you make the base thick enough, the top couple of inches can always be removed and replaced with asphalt, concrete, or pavers.