Thanks to everyone.
Today, after flying in from the west to HPN, I was joining the left downwind for 34 and was informed I was number 5 to land. Moments later, tower said this wasn't going to work and asked for a wide 360*. I concentrated on doing the standard rate turn you guys suggested and it felt really good because this is a maneuver I became familiar with in training. When I rejoined the downwind, it was a non-event. Well, it would have been, except that at that moment I was told to make a short approach, #2 behind the jet. I turned base inside the apartment complex while the jet was still some distance further out than me, but managed to lose speed and altitude well enough to stop and exit the runway short of the jet's landing spot.
Just before turning me over to Ground, Tower said, "Good job. Thanks for the help." Some days are great days.