Oh, yes. there is ample evidence. I see it all around me. Behind all facades, something hides. Behind all reflections there is an object of whose reflection we see. Therefore, if I exist or you exist, or anything in the universe exists, there should be something that is giving rise to that feeling. Therefore, though we may not be able to describe it in all detail, there is some existence. And that is what we term as Brahman, the ultimate substrate from which all things arise. And this is corroborated by science which says that, as far as they know, the universe arose from a small ball of intense energy. What more evidence is required?
Vedas are hymns in the praise of Aryan Gods and Goddesses.
"The etymological origin of Richa is the Sanskrit word,
ric, which means
to praise. Richa, is therefore, one ric after the other. Other meanings of ric are splendour, worship, a hymn."
https://en.wikipedia.org/wiki/Richa
I have utmost respect for Vedas and its hymns. One in RigVeda is ascribed to my progenitor, Upamanyu, it is in praise of Soma. A whole Mandala is ascribed to my family (Mandala 7 to Vasishthas, 104 hymns).Vedas are the best source of the history of Aryan people since all others have been either been destroyed or changed (that, in case of Zoroastrian Avesta where the older portions are a few. The rest is from Zoroaster himself).
And there is no problem about a new school in Hinduism. In the last millenium Srimad Ramanujacharya came up with Vishishtadvaita, Srimad Nimbarkacharya came up with Bhedabhedadvaita, Srimad Madhvacharya came up with Dvaita and Mahaprabhu came up with Achintya Bhedabhedadvaita. It is only a progression.
The problem is that you are trying to describe what your own school says is
inconceivable. There is no need for a Hindu to get disturbed by different views of other Hindus. I am perfectly happy repeating 'Hare Rama, Hare Krishna' a hundred times since Rama and Krishna do not denote anything but Brahman.