Can you lay out your beliefs of 1 Corinthians 11 so we can understand.
Of course but this doesn't only go one way young man. You've been challenged to provide a consistent explanation for how your beliefs on the passage could apply to both men and women. You need to provide an answer. I know you're stalling because you can't but you're an honest and intelligent young man and you're not going to be able to duck the question forever. There is an irreconcilable contradiction in your interpretation. My simple, face value explanation of the passage does not have that weakness.
My belief is simple. Paul states that there is a tradition that women should physically cover their head when praying or prophesying and that men shouldn't. This has nothing to do with the assembly. This is the simplest reading of the passage and requires no intellectual contortions to arrive at.
Does a woman only need to wear a head covering when praying and prophesying? If not are you applying this to the man, that he must never wear a head covering.
Yes, a woman need only cover when praying or prophesying. I go a few steps further in my house but that's a personal choice. It is not clear to me that a man can never wear a head covering. I assume you mean because we're told to pray without ceasing that then a man should always be in prayer. It's an interesting question but I don't see why a head covering can't be removed for prayer or the prayer postponed until it can be removed. I imagine that if we look in to the phrase "without ceasing" we will find that it does not mean every second of every minute of every day.
Does a man dishonor his head by having a head covering on while praying and prophesying?
Yes. I've stated that multiple times. How is that even a question now unless you want to try and circle back to the High Priest argument? You are not the High Priest, you do not do everything the High Priest does. You are not a Levite. You do not do everything a Levite does.
Is a woman's hair a covering for her?
No, not in this case. If the teaching was that a woman should have hair or be shorn it would of course be ridiculous. "That woman doesn't have hair! Shave it off!" This is why I think you have baggage with this issue. You clearly haven't spent time with this passage in an attempt to understand it's action items. Your interest has been to simply delegitimize it. You are refusing to check your preconceived notions.
Does the Torah support your view? Or did Paul write new commands concerning the assembly that we are to treat as commandments?
This is a much larger argument. What do you mean by Torah? I assert that Paul's writings are Torah. And again, I've been explicit that this passage is not a command. There's no way to make it a command. You trying to roll my arguments back over to something easier for you to argue against is dishonest and frankly beneath you. Very few of Jesus' teachings were commands either.
Really what you mean to ask is, does anything Moses delivered at Sinai support my interpretation. Good question and I'd turn it back on you. Does anything Moses delivered at Sinai support your interpretation? I'm not aware of it if it does. Is there a command at Sinai that says a woman must be covered by a man at all times? And if there's not will you rescind the ridiculous assertion? Meanwhile, that's not a problem to me. A whole raft of things were added to our Faith away from Sinai, including all of the books of the Bible, the prophecies of Messiah, the Psalms, histories, Proverbs and all of the Prophets. You don't question any of those things and yet most of them happened hundreds of years removed from Sinai. If no scripture is valid unless it was referenced at Sinai then very little of scripture is valid. Do you accept Baptism? The Holy Spirit? The Second Coming? The Crucifixion? The New Jerusalem? None of these things were promulgated at Sinai.
So again, how does your interpretation apply to men and women at the same time? All of these other issues are distractions to mask this irreconcilable contradiction in an idea that really doesn't live up to your normal intellectual rigor. En garde.