The other thing to try would be to convert the object into a single polygon (assuming it's going to be just flat-faced) and then extrude it along the Z axis thereby giving depth. You could then bevel the front and rear face which might give slightly better results. (I'm assuming from your previous images that you're doing the extrude and then trying to bevel around the edges instead here, so ignore this if I've got the wrong end of the stick)...
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