I think it is pretty consistent upon all the CL, you can get 2 bottles of beer per person each time you ask.
During hours when the beer wasn't stocked, DH and I always get 2 at a time just to keep the poor CM from running back and forth. If we didn't drink them both we would put it in our room fridge for later. Don't be scared or timid to ask - they are happy to help you!
As for taking it to-go, we would pour ours into the disposable coffee cups and take down to pool (this was at the WL but I'm sure you'll be fine at the BC). I often would grab a few larger cups from Roaring Fork to use to fill with iced tea or lemonade to take with me to the pool. We'd use the coffee cups if we wanted to take some trail mix or goldfish on the go too! Or at breakfast I'd fill with fruit and eat while we walked to the bus stop, etc.
This is interesting. The last time we were at AKL CL, there was a cast member who wouldn't let us take a beer out of the lounge unless it was open. So we couldn't get one to take with us to our room. Wonder why?