You need to STOP the boat to heave to (or nearly so). make a slow tack leaving the jib alone so that it becomes back winded. When you are head to wind, keep the boat pointed here until you are almost stopped, and then just barely let the back winded jib fill and then work the tiller to leeward.
Y'know, something seemed interesting about this suggestion, so I just went to YouTube and viewed a couple of proper instructionals on heaving to and now understand that, apparently, I was smoking weed in my Basic Keelboat 101 Class and didn't realize it, because I TOTALLY had the wrong concept of how to do the maneuver. Totally.
Thanks for the reminder. In my next class, I'll make sure not to daydream.