That is a noble effort.
The single OA version is not being discussed here.
Yes. So it is a reasonable starting point for the OP's request. He did not ask for a complete design.
Your LTspice model shows the output -3dB down
3dB down is the usual way to describe bandwidth.
In the OP's original post, he specifies sine wave.
That's okay, it's not your job.
You are getting into more detail than required. If an assumption is incorrect at the start, it makes the rest of your analysis useless.
My simulation uses 33uH per winding. Did you notice? Two of those (coupled) in series is 4x33 or about 132uH for the primary. Also, if you actually read the paper you referenced, you will gain some insight into their thinking about all this.
Your math is usually as good as the rest of us. We all make mistakes. However, I seriously doubt LT made as big a mistake as we ourselves make here.
Enough inductance, according to you, is at least 100uH. So, above, I provided some indication that it is over your requirement.
I did not "find" it. I adjusted the coefficient of coupling and the inductance to match the response curve supplied by LT. I had no other way to deduce those without the data on the transformer that they used. It was an interesting and educational exercise for me.
Good! We should all cherish learning.