When I soaked my birds in the bath tub I just kept them in the water long enough for me to clean them up a bit and rub the affected area. This usually took no more than 15 minutes.
If you can't use the hair dryer on her, then try and get as much water off by rubbing with a towel. If you keep her inside in a very warm place, then she should dry up with little issue. However, if you can keep a heat lamp on her, it will prevent her from shivering and catching a cold. If she should start shivering, rub her with the towel again until she feels warm. It should take about three hours or so for her to dry off. Just be sure to keep her inside until she is completely dry.
Also, when you bathe her, feel the abdomen for any hard areas. If there is an egg stuck, you should be able to feel it with gentle palpatation. If this is the case, then you will have to work very gently to expel the egg. I have a feeling this will NOT be the case, but its a good idea to check anyways.
Good luck! And feel free to ask more questions!