Personally, on that piece, I would get it to a bow blank, left full width but less than 3/4" thick for the entire working limb, coat it with shellac, let it rest 1 month in my garage, then place it in my attic or hotbox for 1 month. Then I'd use a heatgun and caul to correct the deflex and get it more into the shape i like to start with.
I have 2 bows made exactly that way from wood cut in the spring. And they are fantastic bows. After suitable time in the hotbox or attic, I have no problem using a heatgun for correction.