If you cut more than you can store inside or don't have time to get the sapwood off you can spray the bark side down with insecticide and cover it up in a tarp ( Osage is rot resistant) so it doesn't lose moisture too fast , losing moisture too fast can cause your staves or logs to split where you don't want it to or the staves can delaminate in the growth rings , the tarp will buy you some time by keeping air from moving around the wood and pulling moisture out too fast . I cut some in July that was pushed down and some of the logs started splitting in the middle of the logs and not the ends , some of them were covered and didn't suffer any damage , the ones I had covered were in the shade also , just too much water in Osage when the leaves are on . Also watch your staves , if they try to warp on you , you might have to secure them to something to keep them straight .