I think this is being overthought. It is true that “angels” by that you mean heavenly beings, who have heavenly bodies are supernatural.
“There are heavenly bodies and earthly bodies, but the glory of the heavenly is of one kind, and the glory of the earthly is of another.”
1 Corinthians 15:40
Supernatural which means above the natural does not mean it is entirely non natural, just superior. So while the natural body is subject to the laws of nature, limiting them to certain natural laws, supernatural bodies are natural without the limitations of the natural, they can walk through walls, teleport, walk on water, be invisible to the naked eye, morph, just to name a few.
Therefore heavenly beings with heavenly bodies can choose to tone down their abilities and appear in every sense like a natural man. They don’t need to remove or take on a body in order to mingle within the population.
How many?
How many bodies are there in the universe?
“There are heavenly bodies and earthly bodies, but the glory of the heavenly is of one kind, and the glory of the earthly is of another.”
1 Corinthians 15:40
Just two according to Scripture. One is of the earth and natural, it has its own glory (glory being that which defines it) and what defines it is that it’s subject to the laws of nature which includes the fact that it dies
The other is the heavenly body which is supernatural and has its glory, it is immortal and not subject to the laws of nature but the laws of the supernatural or above the natural
I mention this to point out that Jesus after His resurrection did not have a third kind of body but a heavenly body, like all the heavenly beings. In essence He took on the body of “angels”.
And we see that He could morph
“Jesus said to them, “Come and have breakfast.” Now none of the disciples dared ask him, “Who are you?” They knew it was the Lord.”
John 21:12
We see that He ate physical food
“They gave him a piece of broiled fish, and he took it and ate before them.”
Luke 24:42-43
We know “angels” eat physical food. The children of Israel ate the food of “angels”
“Man ate of the bread of the angels; he sent them food in abundance.”
Psalm 78:25
We know that in order for Jesus to have a supernatural body He didn’t exchange it, but put on or added to the natural human body immortality and the supernatural
“For this perishable body must put on the imperishable, and this mortal body must put on immortality.”
1 Corinthians 15:53
We know that Jesus touched and could be touched after the resurrection and after He put on immortality, likewise we see “angels” touching humans
“And behold, an angel of the Lord stood next to him, and a light shone in the cell. He struck Peter on the side and woke him, saying, “Get up quickly.” And the chains fell off his hands.”
Acts 12:7
We can go even further. Angels have DNA
“and I will put enmity between thee and the woman, and between thy seed and her seed; it shall bruise thy head, and thou shalt bruise his heel.”
Genesis 3:15
What more they can impregnate human women and have children with them. Meaning they have semen
“that the sons of God saw the daughters of men that they were fair; and they took them wives of all which they chose.”
Genesis 6:2
It is also interesting that their DNA retains some of the supernatural qualities (DNA which is highly sought after in today’s craze for immortality)
Their DNA is compatible to humans or at a minimum through the dark arts of Gnosticism the fallen sons of God were able to genetically modify and force compatibility of otherwise incompatible species.
“There were giants (Nephilim) in the earth in those days; and also after that, when the sons of God came in unto the daughters of men, and they bare children to them, the same became mighty men which were of old, men of renown.”
Genesis 6:4
These Nephilim survived the flood through Noah’s daughter in law’s child Canaan. The descendants of Canaan intentionally and actively sought out the Nephilim DNA which is why there were unusual humanoids on the earth not merely gigantic in size or having six digits.
“And he communed with them, saying, If it be your mind that I should bury my dead out of my sight; hear me, and intreat for me to Ephron the son of Zohar,”
Genesis 23:8
Ephron meaning fawn-like or a satyr
“Benaiah the son of Jehoiada, the son of a valiant man of Kabzeel, who had done many acts; he slew two lionlike men of Moab: also he went down and slew a lion in a pit in a snowy day.”
1 Chronicles 11:22
And just to be clear that these were not lions, in the same verse he also killed a lion. The Moabites were avid seekers of this “alien” DNA that came from heaven
This DNA mixing continues even today
“And whereas thou sawest iron mixed with miry clay, they shall mingle themselves with the seed (DNA) of men: but they shall not cleave one to another, even as iron is not mixed with clay.”
Daniel 2:43
So how is this verse to be understood then?
“Are they not all ministering spirits, sent forth to minister for them who shall be heirs of salvation?”
Hebrews 1:14
Given that humans are not their bodies or their bodies are not the sum total of who they are but inside every human is a spirit housed in a natural earthly body, so heavenly beings are ministering spirits housed in heavenly bodies and are not identified by their bodies but their person or their spirit.