I'm not sure that I understand your question. Do you actually want to build a singlespeed frame? If so, that's not something that you are going to be able to learn on a bike forum. You'll need to go to school for that.
If you are just looking for parts to build up a frame, there are tons on on line vendors that can supply those parts as well as your LBS. It does seem that most bike shops don't carry a lot of singlespeed specific components, so if you go that route, you may have to have them order your stuff.
Why are you looking for an integrated headset? Do you already have a frame that you want to build up that requires one? If not, I would avoid them. Here's some good info on them from Chris King:
http://chrisking.com/files/pdfs/Int20HeadsetsExplained.pdf
Just curious, why do you want to use a BMX bottom bracket?