hey jen, we are all 'pulling for ya'......
to say the least, many new keeps would have given up and thrown up their hands and walked away and called someone and said come get these bees. you hung in there, and through all the myriad of chasing bees, replacing comb, suggestions, advice, and frustration. my veil is off to you!
like scott, and others, i have been scratching my head over this. we are not there standing beside you, so it's hard to say from a distance why your bees decided to swarm/afterswarm on you 10 times. i have some thoughts, i have been re-reading your posts, and will share them later.
you hang in there. once you see that queen is out of that cage on the 5th day, just let them alone for at least 10 days.
and we will be waiting to hear good things about the new queen!