Barely age three is VERY early to be night potty trained. Most kids, even girls, wear pull ups or 'Goodnights' until somewhat later. You can choose to wake her out of her sleep to have her go to the bathroom, but my opinion is that is creating a TON of work on your part AND disrupting the normal sleep of you and your child. Waking her really isn't 'training' her, it's just periodically having her empty so as to avoid the wetting in bed. She wouldn't really be learning anything and wouldn't be naturally holding it nor recognizing that she has to go... these things have to happen naturally. Once she matures enough to recognize the urge at night or is able to physically hold it, then she will be actually be ready at night to be without a diaper. Sure, you can help her ability to hold it by keeping her bladder less full - by not having her drink a huge amount right before bed, but overall she will be ready when she is ready....
I'm confused about why she is fighting the Pull-Ups? Most kids see them as fun with all the cool pictures and designs... Maybe make is fun/exciting for her, change brands, let her select the style? If she is still fighting the use of them, yet is still peeing overnight, maybe put her in a cloth diaper with a super thin absorbant layer, so as to disquise the 'diaper' aspect?? How about the absorbant 'piddle pads' on the bed and rubber sheets so it wil at least minimize the work and clean up for you??
If it were me I would just come up with a way to convince her to accept the pull-up and see it not as a diaper, but as a back-up just in case she makes an accident.... Maybe some special new pj's she can wear if she puts her pull-up on first, since she won't want to mess up her new pj's with urine!
Best wishes....she sonds completely normal and will potty train herself at night when she is ready it will just happen.