Jim: Often times Native American tribes would work their green staves down to bow dimensions, which was much easier with primitive tools than working with seasoned wood. They would floor tiller the bow green, which really won't cause any damage to the green wood, and then coat the stave in fat, grease, etc. Many times they would store their bow in the tops of their dwellings where smoke would waft around it. They allowed the stave to season this way.
Today, I often do something very similar. The more wood that is present, the higher the risk of checking. I split my staves down to a bit more width than I need for one bow, but leave them several inches longer than needed to allow for possible end checking. I then take the bark and sapwood off the back (unless it's a whitewood stave, in which case I just take off the outer bark). I then immediately seal the ends and back will paint or glue. I will then work the bow to very rough dimensions with a hatchet, leaving the back and plenty of length on the ends in tact. If I need to correct a limb twist or desire to add any reflex/recurve, I will clamp the bow in the position. If not, I clamp it straight to a 2x4 and allow it to season. The benefits are as follows;
1) Green wood is easier to work (unless you're working with seasoned osage, which I find to be a dream to work with hand tools)
2) You can correct twists/add reflex without heating or steaming the wood
3) You stave is seasoned in a fraction of the time it would take if left as a log or even full stave.
4) You reduce the chance of checking.
Now, I did NOT use this method on this bow, as the tree belongs to my brother-in-law. We simply split the log into staves (LOTS of them!) and sealed the ends. The stave above did suffer from some checking, but leaving it thicker and longer than the future bow insured the checking would not jeopardize the future bow.
To each his own. There are as many ways to season wood as there are bowyers. Many will disagree with my method, and that is okay. Maybe some other guys will post some things we can all learn from. Good luck!