Suggest you remodel part to incorporate some level bosses around outer profile, through which you can locate and clamp component.
Orient component so that all areas can be machined in two set-ups. Rough each side, then finish each side using a simple plate for a fixture, with a couple of bolt holes and a couple of dowel holes to locate holes in bosses.
Remove bosses on the final operation, for which you could machine a 3D fixture and clamp to support the blade. Or, if acceptable, bandsaw them off and hand-dress the edges.