Hello Monica
I like Almoradi and the nearby town of Algorfa as they are within easy reach of the beach, the AP7 motorway and other towns such as Quesada. It has a good Spanish feel about the area and is very scenic with the mountains close by. Try OPI Rentals who have an office in La Finca Golf in Algorfa they have a good selection of apartments and townhouses in the area with prices around the 300 Euros per month bracket. Their phone number is 966 729 653.
The good thing about renting is there is no financial committment if you dont like the area and want tto try a different town then you just give in your notice.
Good luck