The schematics above are 6 types of ways to do choke regulation. The big inductor after the bridge has wicked overshoot but eventually settles. Normally you put an element across the inductor. Note all the voltages are less than the capacitor alone. That is the load dependency issue with choke supplies. The one that overshoots a little and then settles fast with little ripple is a hybrid of inductance before the transformer and after the bridge. Hybrid approaches are best.
Sorry it is hard to read. Not the easiest editor with embedded images.