I requested a coffee maker at the Grand Floridian at check-in. They were very obliging and sent one up right away. I would suppose it would work the same at the Beach Club. Of course, it is based on availability upon check-in.
The cofeemaker is no problem, but unlike some of the other resorts, BC does not supply the coffee, etc., beyond the first day. You can buy what you need in the gift shop, but I just brought supplies from home.
Sweet tink, while we have not yet stayed at the BC, we'll be there in September and I have asked this question previously. I was told a coffeemaker can be requested at check in, but you will need your own filters, coffee, and supplies. It's a small 3 cup size.