Somewhere, once upon a time, I had posted a chicken and dumplings recipe. I can't remember if it's in here in recipes or on my BYC Page.
Anyway, when I find it, I'll link it.
I did a few roosters this year that were 2-3 years old, but I found that you don't want to BOIL the bird, simmer it. I've crockpotted before and it's good, but I find my crockpot runs high and will boil things. The meat turns out more tender than roasting, but it's still a bit stringy and toothsome.
In your shoes, I would personally do as follows:
Let the bird either rest in the fridge in a sealed bag, or complete covered in your brine. If brining, change the brine out daily. I would probably "rest" in the fridge for 2-3 days, then brine for a full day. My personal preference - mostly because I'm lazy and don't like to change the brine out so many times.
Next, I would find the biggest stockpot I have - which I picked one up at the supermarket for $15 - it's something like 6 or 8 quarts? Put the whole chicken in, skin and all. Put in a couple whole carrots broken into two or three pieces, a whole onion or two with the root part cut off, quartered, and the papery skin still on, a few stalks of celery broken into two or three pieces, and about 2-3 tablespoons of whole peppercorns (or about 2-3 teaspoons of fresh ground pepper. Add a couple quarts of water so the chicken is covered, and about 2-3 inches deep. Put it on the stove on medium low or so, and just let it simmer away for a few hours - 4-5 is best.
When it's "done" the meat should have pulled from the joint on the drumsticks. Pour the pot into a colander with a bowl under it to catch all of the stock. Discard the veggies and pepper, and let the chicken cool. Once it's cool, pull the meat off - it should come off easily. At this time, I like to put the stock in pitchers and put in the fridge to let the fat rise up and settle on the top so I can skim it - I keep the fat for cooking (in a jar in the fridge).
You can also take the carcass at this point and make a second batch of stock, same way. Since the carcass stock won't have fat, I like to portion the first stock out and freeze it, and use the second stock to make soup that day. I will portion the chicken meat out if there is a lot, into 1/2lb bags, or I just make the stock (same as before), and then add the stock back to the pot, add veggies for soup, and add the chicken in. Make some dumplings up, and you have some delicious, fresh, homemade chicken and dumpling soup