The furler on the UPS is pretty much essential for me. I can't tack or jibe without furling. The UPS is specifically designed to be furled. It has two spectra luff lines sewn into the sail. They are separated by just the right amount so that it takes very few pulls on the furler line to get it to wrap up neatly.
Because you will be flying your drifter "inside" the head stay, you will have a much better chance of being able to tack and jibe it. Though, I suspect that it will take some practice.