Here is another city hoping trip to see in one week Valencia, Benidorm and Alicante. It is just at the beginning of summer; the weather is great for sun bathing, maybe not so good for bathing in the Mediterranean. But Spain is a great destination no matter the season.
The flights are with an overnight layover in Milan at return, but the price really compensates the discomfort. If this really tempts you then start look and book your accommodation, even on airbnb. I would really suggest you to rent a car though the fee for a different point of return is too great, usually 100 euros; so use the public transportation as it is cheap and reliable.
Note that we are not an online tourism agent and do not provide services of any commercial type. We just share what we find and give you suggestions about great destinations in the best periods. Just follow the link to book by yourself.