Another good option is Murcia city, which is around 40 minutes away from Almoradi and an easy drive, being motorway almost the whole way.
It is a city that is often overlooked, but one which offers an awful lot, from stunning architecture to great cuisine and don't forget that you can even shop in Ikea on your way back lol.. But in June each year Murcia city plays host to the festival of Cardinal Beluga. This is a culture and music festival which sees international acts perform all over the city in some stunning locations. Most Thursdays during the festival, they have free evening shows in the main square outside the cathedral, a very beautiful location.. I've seen Russian ballet and world class live flamenco, just stunning.
There is a tourist information service in the city that can give you further details, but I can highly recommend it.
I hope they have a great trip over, whatever you get up to