Tradiotional MEA proof
The problem with your formula is that it does not match traditional MEA in the border cases.
The second problem that I not fully understand it. It looks like you are integrating angular velocity to an undefined time t.
it matches orbital MEA in border cases though, as always moving perpendicular is impossible, so you have to fallback to orbital ;)
I'm integrating angular velocity from fire time to hit time, which is obviously the escape angle ;) sorry for not saying that clearly in advance, the article is still not finished ;)