Matt. 28:19 is good enough
And, the Apostles all carried out the commission by baptizing in Jesus name, and thus you will not find any scripture that anyone ever baptized in the name of Father, Son, Holy Spirit.
If we use our e-sword Bible Study program and do a "phrase search" on "Father, Son, Holy Spirit (or Ghost)" and it only has one (1) hit...
Matthew 28:19 Go ye therefore, and teach all nations, baptizing them in the name of the Father, and of the Son, and of the Holy Ghost:
God bless!