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.
I'll give that a shot on Friday when I go out for the day. That and man overboard are the last things I need to master to the point where I don't have to think about how to do it.