Is it valid to perform ablution by putting drops of water inside the nose without sniffing or blowing it out, whether it comes out on its own or the person expels it? And is it sufficient to wipe inside the nose with two fingers without sniffing or blowing it out?

If you adopt the Hanbali school of thought regarding the obligation of Istinshaq (sniffing water into the nose) in ablution, then know that the sufficient Istinshaq according to them is drawing water into the inner part of the nose by breathing. Merely wiping the nose with water or placing water in it without drawing it in is not sufficient. What is obligatory is drawing water into the inner part of the nose, and exaggeration (Mubalagah) is drawing it to the furthest part of the nose.