I mainly worked with osage,,
if I cut a green tree,, I would split it and leave the bark on,, then when I had time I would take off the bark and sapwood and then coat the back,,,
if I was going to make a bow soon,,
I would rough out to about floor tiller,, then coat the back and handle and fades,, for final drying,,
this being said,, I would keep the bow outside so it did not have to go into a heated house,, ,, once I got the bow to bending, I would still coat the handle and fades,, for at least a few weeks,,
if put a rawhide back on, I would make sure the handle and fades were coated, cause it would like to check there,, from the moisture getting back into the wood from the rawhide,,