What you are trying to do is extremely difficult, for sure. But keep going. The bandsaw trick was actually a good idea and thought process.
Cut and smooth one side to the shape you want. Then, trace the outline to the next block of wood, and cut it. Then it is a matter of painstakingly shaping it to fit the first block. You have to match one to the other, consider the first one the master and mate the second one to it. One piece should be a dark wood - that will help hide the joint. Two pieces of light colored wood will show the joint as a dark line, emphasizing any mismatch. (Ebony and ironwood is a good choice).
Do the matching as blocks of wood. Once you have them matched and glued up as a single block again, then cut the block into slabs for scales.
If it is just a radius, You can get one side nice and smooth, then use it with a piece of sandpaper as a mandrel to shape the same curve to the opposite piece. You are then only off by the thickness of the piece of sandpaper, theoretically.
you might consider a straight/diagonal cut, not an S-curve or radius. Curves can be done, but a straight cut will be far, far easier.