Farrier's rasp hogs wood pretty good. As far as the internet drawknives are concerned- check for an old one that looks like it has a lot of metal left, and just buy it. If you are good with the hand tools, I will assume you can sharpen up a drawknife.
I had to get a noname drawknife from the auction site, since I have still yet to find one in antique stores, flea markets, or thrift stores.
Seriously, if its pre-1970 age, the drawknife will be good.
You could also make a drawknife from an old file, or get ahold of a long planer blade and use it with gloves, or wrapping the ends with tape or fabric so it doesn't cut you.
As for the process, the first thing to do is get a good centerline marked out, then figure where your handle will be, and then mark out the back profile and cut it. Then you can mark out your side profile and fades, then cut that. After that, floor tiller, then long string (some skip this step) and short brace height tillering. Once you get to proper brace height, it will likely be very close to finished, just details from here out.
If you check the archives and build-along forums here, you will find a wealth of knowledge and different ways to skin that cat you got there.
Mike
Oh yeah, I have seen bows made with nothing but a hatchet too...