One of my favorite appearances is to Menoah's wife when Menoah, not knowing that it was 'the Angel of the LORD,' asked Him, "what is your name?" and He answered Menoah something like, "Why do you ask? my name is a wonder." And when Menoah realized that it was indeed the Angel of the Lord when He went up into the flames of the burnt offering that the Angel had instructed him to offer "to the LORD," Menoah feared saying to his wife, "We are going to die! for we have seen God!" (Judges 13)
And Jacob received a similar answer after he wrestled with a Man when he requested, "Please tell me your name," after the Man asked him his name and then told him he would no longer be called Jacob but Israel, "because you have struggled with God and with men, and you have prevailed."
And Jacob marveled that his life was spared after seeing God 'face to face.' (Genesis 32)
And of course, God Himself said that He and Moses spoke 'face to face.' And well it is right that 'no one shall see God and live.' (for He is just). Yet, it is the Son that reveals the Father, for He is the only way to the Father, after all, so when Moses saw God 'face to face' they saw His Mercy (and isn't that exactly what He requires of us, mercy and not justice? and I don't think I quote that wrongly though I wish I had 'instant recall' of the verse) and I think they were permitted to see Him "face to face" because they recognized/acknowledged/believed in? His Faithfulness (Holy Spirit) So then, in short, the OP's request in exploring Jesus' representation of the Godhead leads us to "the more important matters of the law-justice, mercy and faithfulness (Matthew 23:23)." And this brings to mind Psalm 85:10, "Loving devotion and faithfulness meet; righteousness and peace have kissed."
Thinking of these previously mentioned accounts where, when a request for His Name was answered with, "Why do you ask?" causes me to wonder and conduct research about whether there is actually any instance written of anywhere of anyone directly addressing Jesus by His Name while in His Presence...