Corvera is on the way to Murcia City and will be about 20 mins drive, still seems some doubt as to whether the project will go ahead at this time due to economic crisis especially if more airlines go under or cancel routes out of season.
Re driving, we drove down in May from Kent SE England and distance was 1300 miles, on the way down we took our time and stayed with friends in France but then drove back shortest way stopping 2 nights.
Can be done quicker, but depends how far you want to drive in a day.
Take into account cost of fuel, tolls, accommodation, ferry and overnight stops. It is an expensive option compared to flying but at least you save on hire car so ok if you plan to stay a while.