Question:
Are there any Scripture references which speak against musical instruments other than the piano being used during singing in meeting?

Answer:

The musical instruments I believe you have in mind are other than the musical instrument God has made, which is the human voice.

I don’t know of any Scripture that speaks against musical instruments, with the possible exception of Jubal, who was “the father of all such as handle the harp and organ.” Jubal was a descendent of Cain and was with him after he “went out from the presence of the Lord” (Genesis 4:16, 21). However, on a more positive note, David used the harp to cause the evil spirit to depart from Saul (1 Samuel 16:23).

Such an exhortation as: “Praise Him with the psaltery and harp” (Psalm 150:3) is beautifully in place in the Psalms; but in the New Testament dispensation (which is today) the exhortation is: “Singing and making melody in your heart to the Lord” (Ephesians 5:19). Also, “I will sing with the spirit, and I will sing with the understanding also” (1 Corinthians 14:15).
Jesus said: “The hour cometh, and now is, when the true worshippers shall worship the Father in spirit and in truth…and they that worship Him must worship Him in spirit and in truth” (John 4:23,24). Therefore the piano, nor other instruments, are used in the assembly meetings, such as the remembrance meeting, but some assemblies use it in the gospel and Sunday school meetings to help present the Word in song.