I understand that God transcends time. I also understand that He communicates clearly.
“Day” means “day” throughout Scripture. It doesn’t suddenly mean “epoch” in the one area we are uncomfortable with it. To say so is intellectually dishonest, I think.
I could understand your analysis if the Hebrew word for “day” meant different things throughout the Old Testament. But no one even tries to say it does. Except in Genesis, where we don’t like it.
Also, I don’t think you need to deny all modern science to embrace Scripture as the true, inspired word of God. True science, proveable science, does not contradict God’s word.
For example, my son believes God created the earth in six days, and all very good. He also has a Physics degree from UCLA and works in his field. There is no contradiction.
Many active, well educated, respected and employed scientists reject evolution as a theory.
Genesis 1:5: "And God called the light Day, and the darkness he called Night. And the evening and the morning were the first day."
That's two different meanings of "Yom" in one verse. God called the light "day," as differentiated from night. And the period of light in a 24-hour day is less than 24 hours.
Genesis 2:4: "These are the generations of the heavens and of the earth when they were created, in the day that the LORD God made the earth and the heavens."
Only heaven was created on the second day and earth on the third. Therefore "day" (and yes, it's the same Hebrew word, "Yom") means at least two separate days here.