I am not a bowyer though I have made a dozen or so. There are I reckon 3 processes.
I rough shaping, I would do this with a small sharp axe or hatchet.
2 refining shape and general thinning down untill it begins to flex evenly, this can be very fast with a drawknife but to use one efficiently you also need to build a shaving horse, not worth the hassle unless you will use it lots. This stage can be equally well done with a knife (£10 mora?) or a nice wooden spokeshave (£3 at car boot sales)
3 final shaping and tillering. This is where you want scrapers, glass etc. You can scrape with the edge of your knife (knife held at 90 dgrees to wood not cutting action) The trick is to avoid getting any part too thin and all the bend in one place, if that starts to happen mark it, leave it alone and thin either side until the bend becomes more even.
last thought I have alwasy made d section long bows out of yew and ash, simply because I did a lot of research on medieval wood, have handled the Mary Rose longbows and it seemed the obvious thing. My next bow will be a flatbow. These were standard in Europe in earlier times (eg Oetzi the iceman had a flatbow) from what I have read they are quicker easier and more forgiving to make.
Watch these vids I have not seen anyone make a "quickly made bow" that shoots so well.
http://www.youtube.com/watch?v=BFrT16vPHEg
http://www.youtube.com/watch?v=tIRVAc23ubw
http://www.youtube.com/watch?v=1y40KyGF1fY