There is a parking for residents with sunshades.
You can find it at the the back of the Urbanizacion
In case you want to use a long-term parking I recommend the EcoParking Alicante - 2 minutes drive from the airport.
pickup +34 965 68 30 03
The pick up location is at the top floor (departures), at the zebra crossing, nect to the gate #3.
Most parkings at the nearby rocky beaches are vey steep. I have often seen cars that have slid down. The best way is to use wheel blockers and to leave wheels turned towards the kerbstone.
Closest car wash at Repsol Service.