If it were me, I would finish turn it yesterday and let it warp. Turn it to a 3/16 wall thickness and it will dry in 3 days for finishing.
Returning the Osage will not be much fun. And it is very easy to break or crack the bowl returning it.
Much of the magic of NE bowls it their ovalness which is enhanced by the warping.
With the sap ring the bowl should look great with or without the bark.
The white will stay white unless you change the color with the finish
The orange will turn brown.
what I do with large Ne bowls do all the turning, only sanding I do on the lathe is around any foot detail that can’t be sanded when dry,
Either remove the bark or run thin CA along the bark edge holding bowl so that gravity keeps the CA off the wood,
rinse the bowl in the shop sink, towel dry, Put it in a cardboard box close the flaps for a day, open half the flaps for a day, put it in a shelf for a day, then sand it using 3” discs in a angle drill, and finish it.
imwill look for a photo to add.