Funny you should ask.
Once, long, long ago I did actually have some idea and a bit of group theory too.
However, even then I had not gotten to what you are asking for. I finished an honours BSc in physics and realized that I couldn't handle any more math. And I've forgotten what I did know anyway.
Once upon a time I remember telling a doctoral student that some things had to be expressed as math. He insisted that it is possible to at least explain the concepts without it.
I happen to disagree with him. I'm wondering how far we can go without jumping headfirst into the deep end to start with?
A good example is the dimensions thing: I can understand how such a term as a d-10 may appear and need to be handled.
(btw, I did try to read a post grad text on GR on my own some years ago. It was not a great success I'm afraid.
)