We recommend to look for hotels donwtown Nice. There will be more choices depending on your budget.

The Chateau Valrose is located inside the campus of University of Nice and can be reached using Tramway 1.

This list of hotels gives different options located along the tramway line 1 :

Le Parisien - https://hotel-nice-parisien.com/
le So'Co - https://www.hotel-soco.com/fr/
le Lepante - https://hotellepante.com/ 
Ibis Nice Centre gare - https://all.accor.com/hotel/1396/index.fr.shtml?dateIn=&nights=&compositions=1&stayplus=false&snu=false#origin=ibis
Ibis Style Nice centre gare - https://all.accor.com/hotel/9907/index.fr.shtml?utm_campaign=seo+maps&utm_medium=seo+maps&utm_source=google+Maps
Share Inn - https://www.share-inn-nice.com/
Hôtel Aria - https://www.hotel-aria.fr/fr/
Hôtel du Centre - https://www.hotelducentre-nice.com/
Villa  Victor Hugo - https://hotel-villa-nice-centre.com/
Campanile Hôtel Nice centre Acropolis - https://www.hotel-campanile-nice.fr/