Theres nothing with wrong in sending blessings on the Prophet(SaW)
Narrates ‘A’ishah: Once on an Eid day, Abyssinians came and started dancing in the mosque. The Prophetﷺ called me. I placed my head on his shoulder and started watching their performance. He did not stop me until I myself got tired of watching them and turned away.
[Source: Sahih Muslim]
Anas bin Malik said that the Abyssinians danced in front of Allah's Messengerﷺ while saying “Muhammad is a Righteous Servant [of God]” (in their language) upon which Allah's Messengerﷺ asked, “What are they saying?” And they responded in Arabic, “Muhummadun ‘Abdun Saalihun."
[Sahih Hadith, Al-Musnad of Imam Ahmad]