Hmmm, well it appears you have been to most of the A-List places in Spain, so I would start to look at more "off the beaten path destinations". I'd probably look more towards the southwards, as the north will be quite rainy/cold in April.
I'd recommend you look at western Spain, specifically the Extremadura region, it is often overlooked and really underappreciated. In my opinion, it's one of Spain’s most fascinating regions. It's full of time-warped old towns, castles, monasteries, and beautiful countryside. It is the region bordering Portugal to the west and was the homeland of many Conquistadors. For a potential road trip I would do something along these lines:
AVE train to Madrid, rent car & drive to:
Cáceres (2 nights): The old town of Cáceres is a UNESCO World Heritage Site and has a mix of Roman, Islamic, Gothic, and Renaissance architectural styles.
Parque Nacional de Monfragüe (day trip): A National Park and UNESCO biosphere reserve, includes stunning cliffs & rock formation, plus many kinds of wildlife (especially noted for its Griffon vultures). Has some really great hiking trials.
Trujillo (2 nights): This town is where some of Spain’s most famous(infamous) conquistadors came from. The town has a few baroque and Renaissance palaces and an interesting Museum of Francisco Pizarro, who led the expedition that conquered the Inca Empire.
Real Monasterio de Guadalupe (day trip): You can tour this monastery and its collection of art, jewels, illuminated manuscripts. You can also see two cloisters, one late-14th-century Mudéjar, the other Gothic.
Mérida (3 nights): Low key capital of the Extremadura region. Mérida has the best preserved Roman ruins in Spain. Makes for a good base to explore the region.
Zafra (day trip): white walled town nicknamed "Little Sevilla" and feels very "Moorish". The filmed some scenes from the T.V. show Game of Thrones here.
Jerez de los Caballeros (day trip): A very picturesque small town. The old town is surrounded by a Moorish wall with six gates. After it was conquered from the Moors, the town was transferred to the Knights Templar, who left their own architectural mark.
Return car to Madrid, spend 1 night, fly out next day.
FYI Semana Santa (Holy Week) will be April 10-16, so it may affect prices and hotel availability.